What is the Greatest Common Factor of 915 and 925?
Greatest common factor (GCF) of 915 and 925 is 5.
GCF(915,925) = 5
We will now calculate the prime factors of 915 and 925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 915 and 925.
How to find the GCF of 915 and 925?
We will first find the prime factorization of 915 and 925. After we will calculate the factors of 915 and 925 and find the biggest common factor number .
Step-1: Prime Factorization of 915
Prime factors of 915 are 3, 5, 61. Prime factorization of 915 in exponential form is:
915 = 31 × 51 × 611
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 915
List of positive integer factors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305
Step-4: Factors of 925
List of positive integer factors of 925 that divides 915 without a remainder.
1, 5, 25, 37, 185
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 915 and 925. The biggest common factor number is the GCF number.
So the greatest common factor 915 and 925 is 5.
Also check out the Least Common Multiple of 915 and 925
Related Greatest Common Factors of 915
- GCF of 915 and 919
- GCF of 915 and 920
- GCF of 915 and 921
- GCF of 915 and 922
- GCF of 915 and 923
- GCF of 915 and 924
- GCF of 915 and 925
- GCF of 915 and 926
- GCF of 915 and 927
- GCF of 915 and 928
- GCF of 915 and 929
- GCF of 915 and 930
- GCF of 915 and 931
- GCF of 915 and 932
- GCF of 915 and 933
- GCF of 915 and 934
- GCF of 915 and 935
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