What is the Greatest Common Factor of 920 and 925?
Greatest common factor (GCF) of 920 and 925 is 5.
GCF(920,925) = 5
We will now calculate the prime factors of 920 and 925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 920 and 925.
How to find the GCF of 920 and 925?
We will first find the prime factorization of 920 and 925. After we will calculate the factors of 920 and 925 and find the biggest common factor number .
Step-1: Prime Factorization of 920
Prime factors of 920 are 2, 5, 23. Prime factorization of 920 in exponential form is:
920 = 23 × 51 × 231
Step-2: Prime Factorization of 925
Prime factors of 925 are 5, 37. Prime factorization of 925 in exponential form is:
925 = 52 × 371
Step-3: Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460
Step-4: Factors of 925
List of positive integer factors of 925 that divides 920 without a remainder.
1, 5, 25, 37, 185
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 920 and 925. The biggest common factor number is the GCF number.
So the greatest common factor 920 and 925 is 5.
Also check out the Least Common Multiple of 920 and 925
Related Greatest Common Factors of 920
- GCF of 920 and 924
- GCF of 920 and 925
- GCF of 920 and 926
- GCF of 920 and 927
- GCF of 920 and 928
- GCF of 920 and 929
- GCF of 920 and 930
- GCF of 920 and 931
- GCF of 920 and 932
- GCF of 920 and 933
- GCF of 920 and 934
- GCF of 920 and 935
- GCF of 920 and 936
- GCF of 920 and 937
- GCF of 920 and 938
- GCF of 920 and 939
- GCF of 920 and 940
Related Greatest Common Factors of 925
- GCF of 925 and 929
- GCF of 925 and 930
- GCF of 925 and 931
- GCF of 925 and 932
- GCF of 925 and 933
- GCF of 925 and 934
- GCF of 925 and 935
- GCF of 925 and 936
- GCF of 925 and 937
- GCF of 925 and 938
- GCF of 925 and 939
- GCF of 925 and 940
- GCF of 925 and 941
- GCF of 925 and 942
- GCF of 925 and 943
- GCF of 925 and 944
- GCF of 925 and 945