What is the Greatest Common Factor of 975 and 985?
Greatest common factor (GCF) of 975 and 985 is 5.
GCF(975,985) = 5
We will now calculate the prime factors of 975 and 985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 975 and 985.
How to find the GCF of 975 and 985?
We will first find the prime factorization of 975 and 985. After we will calculate the factors of 975 and 985 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 985
Prime factors of 985 are 5, 197. Prime factorization of 985 in exponential form is:
985 = 51 × 1971
Step-3: Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325
Step-4: Factors of 985
List of positive integer factors of 985 that divides 975 without a remainder.
1, 5, 197
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 975 and 985. The biggest common factor number is the GCF number.
So the greatest common factor 975 and 985 is 5.
Also check out the Least Common Multiple of 975 and 985
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
Related Greatest Common Factors of 985
- GCF of 985 and 989
- GCF of 985 and 990
- GCF of 985 and 991
- GCF of 985 and 992
- GCF of 985 and 993
- GCF of 985 and 994
- GCF of 985 and 995
- GCF of 985 and 996
- GCF of 985 and 997
- GCF of 985 and 998
- GCF of 985 and 999
- GCF of 985 and 1000
- GCF of 985 and 1001
- GCF of 985 and 1002
- GCF of 985 and 1003
- GCF of 985 and 1004
- GCF of 985 and 1005