What is the Greatest Common Factor of 970 and 975?
Greatest common factor (GCF) of 970 and 975 is 5.
GCF(970,975) = 5
We will now calculate the prime factors of 970 and 975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 970 and 975.
How to find the GCF of 970 and 975?
We will first find the prime factorization of 970 and 975. After we will calculate the factors of 970 and 975 and find the biggest common factor number .
Step-1: Prime Factorization of 970
Prime factors of 970 are 2, 5, 97. Prime factorization of 970 in exponential form is:
970 = 21 × 51 × 971
Step-2: Prime Factorization of 975
Prime factors of 975 are 3, 5, 13. Prime factorization of 975 in exponential form is:
975 = 31 × 52 × 131
Step-3: Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485
Step-4: Factors of 975
List of positive integer factors of 975 that divides 970 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 970 and 975. The biggest common factor number is the GCF number.
So the greatest common factor 970 and 975 is 5.
Also check out the Least Common Multiple of 970 and 975
Related Greatest Common Factors of 970
- GCF of 970 and 974
- GCF of 970 and 975
- GCF of 970 and 976
- GCF of 970 and 977
- GCF of 970 and 978
- GCF of 970 and 979
- GCF of 970 and 980
- GCF of 970 and 981
- GCF of 970 and 982
- GCF of 970 and 983
- GCF of 970 and 984
- GCF of 970 and 985
- GCF of 970 and 986
- GCF of 970 and 987
- GCF of 970 and 988
- GCF of 970 and 989
- GCF of 970 and 990
Related Greatest Common Factors of 975
- GCF of 975 and 979
- GCF of 975 and 980
- GCF of 975 and 981
- GCF of 975 and 982
- GCF of 975 and 983
- GCF of 975 and 984
- GCF of 975 and 985
- GCF of 975 and 986
- GCF of 975 and 987
- GCF of 975 and 988
- GCF of 975 and 989
- GCF of 975 and 990
- GCF of 975 and 991
- GCF of 975 and 992
- GCF of 975 and 993
- GCF of 975 and 994
- GCF of 975 and 995