What is the Greatest Common Factor of 76896 and 76912?
Greatest common factor (GCF) of 76896 and 76912 is 16.
GCF(76896,76912) = 16
We will now calculate the prime factors of 76896 and 76912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76896 and 76912.
How to find the GCF of 76896 and 76912?
We will first find the prime factorization of 76896 and 76912. After we will calculate the factors of 76896 and 76912 and find the biggest common factor number .
Step-1: Prime Factorization of 76896
Prime factors of 76896 are 2, 3, 89. Prime factorization of 76896 in exponential form is:
76896 = 25 × 33 × 891
Step-2: Prime Factorization of 76912
Prime factors of 76912 are 2, 11, 19, 23. Prime factorization of 76912 in exponential form is:
76912 = 24 × 111 × 191 × 231
Step-3: Factors of 76896
List of positive integer factors of 76896 that divides 76896 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 89, 96, 108, 144, 178, 216, 267, 288, 356, 432, 534, 712, 801, 864, 1068, 1424, 1602, 2136, 2403, 2848, 3204, 4272, 4806, 6408, 8544, 9612, 12816, 19224, 25632, 38448
Step-4: Factors of 76912
List of positive integer factors of 76912 that divides 76896 without a remainder.
1, 2, 4, 8, 11, 16, 19, 22, 23, 38, 44, 46, 76, 88, 92, 152, 176, 184, 209, 253, 304, 368, 418, 437, 506, 836, 874, 1012, 1672, 1748, 2024, 3344, 3496, 4048, 4807, 6992, 9614, 19228, 38456
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 76896 and 76912. The biggest common factor number is the GCF number.
So the greatest common factor 76896 and 76912 is 16.
Also check out the Least Common Multiple of 76896 and 76912
Related Greatest Common Factors of 76896
- GCF of 76896 and 76900
- GCF of 76896 and 76901
- GCF of 76896 and 76902
- GCF of 76896 and 76903
- GCF of 76896 and 76904
- GCF of 76896 and 76905
- GCF of 76896 and 76906
- GCF of 76896 and 76907
- GCF of 76896 and 76908
- GCF of 76896 and 76909
- GCF of 76896 and 76910
- GCF of 76896 and 76911
- GCF of 76896 and 76912
- GCF of 76896 and 76913
- GCF of 76896 and 76914
- GCF of 76896 and 76915
- GCF of 76896 and 76916
Related Greatest Common Factors of 76912
- GCF of 76912 and 76916
- GCF of 76912 and 76917
- GCF of 76912 and 76918
- GCF of 76912 and 76919
- GCF of 76912 and 76920
- GCF of 76912 and 76921
- GCF of 76912 and 76922
- GCF of 76912 and 76923
- GCF of 76912 and 76924
- GCF of 76912 and 76925
- GCF of 76912 and 76926
- GCF of 76912 and 76927
- GCF of 76912 and 76928
- GCF of 76912 and 76929
- GCF of 76912 and 76930
- GCF of 76912 and 76931
- GCF of 76912 and 76932