What is the Greatest Common Factor of 54870 and 54890?
Greatest common factor (GCF) of 54870 and 54890 is 10.
GCF(54870,54890) = 10
We will now calculate the prime factors of 54870 and 54890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54870 and 54890.
How to find the GCF of 54870 and 54890?
We will first find the prime factorization of 54870 and 54890. After we will calculate the factors of 54870 and 54890 and find the biggest common factor number .
Step-1: Prime Factorization of 54870
Prime factors of 54870 are 2, 3, 5, 31, 59. Prime factorization of 54870 in exponential form is:
54870 = 21 × 31 × 51 × 311 × 591
Step-2: Prime Factorization of 54890
Prime factors of 54890 are 2, 5, 11, 499. Prime factorization of 54890 in exponential form is:
54890 = 21 × 51 × 111 × 4991
Step-3: Factors of 54870
List of positive integer factors of 54870 that divides 54870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 59, 62, 93, 118, 155, 177, 186, 295, 310, 354, 465, 590, 885, 930, 1770, 1829, 3658, 5487, 9145, 10974, 18290, 27435
Step-4: Factors of 54890
List of positive integer factors of 54890 that divides 54870 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110, 499, 998, 2495, 4990, 5489, 10978, 27445
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 54870 and 54890. The biggest common factor number is the GCF number.
So the greatest common factor 54870 and 54890 is 10.
Also check out the Least Common Multiple of 54870 and 54890
Related Greatest Common Factors of 54870
- GCF of 54870 and 54874
- GCF of 54870 and 54875
- GCF of 54870 and 54876
- GCF of 54870 and 54877
- GCF of 54870 and 54878
- GCF of 54870 and 54879
- GCF of 54870 and 54880
- GCF of 54870 and 54881
- GCF of 54870 and 54882
- GCF of 54870 and 54883
- GCF of 54870 and 54884
- GCF of 54870 and 54885
- GCF of 54870 and 54886
- GCF of 54870 and 54887
- GCF of 54870 and 54888
- GCF of 54870 and 54889
- GCF of 54870 and 54890
Related Greatest Common Factors of 54890
- GCF of 54890 and 54894
- GCF of 54890 and 54895
- GCF of 54890 and 54896
- GCF of 54890 and 54897
- GCF of 54890 and 54898
- GCF of 54890 and 54899
- GCF of 54890 and 54900
- GCF of 54890 and 54901
- GCF of 54890 and 54902
- GCF of 54890 and 54903
- GCF of 54890 and 54904
- GCF of 54890 and 54905
- GCF of 54890 and 54906
- GCF of 54890 and 54907
- GCF of 54890 and 54908
- GCF of 54890 and 54909
- GCF of 54890 and 54910