What is the Greatest Common Factor of 970 and 990?
Greatest common factor (GCF) of 970 and 990 is 10.
GCF(970,990) = 10
We will now calculate the prime factors of 970 and 990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 970 and 990.
How to find the GCF of 970 and 990?
We will first find the prime factorization of 970 and 990. After we will calculate the factors of 970 and 990 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 990
Prime factors of 990 are 2, 3, 5, 11. Prime factorization of 990 in exponential form is:
990 = 21 × 32 × 51 × 111
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 990
List of positive integer factors of 990 that divides 970 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 970 and 990. The biggest common factor number is the GCF number.
So the greatest common factor 970 and 990 is 10.
Also check out the Least Common Multiple of 970 and 990
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 990
- GCF of 990 and 994
- GCF of 990 and 995
- GCF of 990 and 996
- GCF of 990 and 997
- GCF of 990 and 998
- GCF of 990 and 999
- GCF of 990 and 1000
- GCF of 990 and 1001
- GCF of 990 and 1002
- GCF of 990 and 1003
- GCF of 990 and 1004
- GCF of 990 and 1005
- GCF of 990 and 1006
- GCF of 990 and 1007
- GCF of 990 and 1008
- GCF of 990 and 1009
- GCF of 990 and 1010