What is the Greatest Common Factor of 8918 and 8932?
Greatest common factor (GCF) of 8918 and 8932 is 14.
GCF(8918,8932) = 14
We will now calculate the prime factors of 8918 and 8932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8918 and 8932.
How to find the GCF of 8918 and 8932?
We will first find the prime factorization of 8918 and 8932. After we will calculate the factors of 8918 and 8932 and find the biggest common factor number .
Step-1: Prime Factorization of 8918
Prime factors of 8918 are 2, 7, 13. Prime factorization of 8918 in exponential form is:
8918 = 21 × 73 × 131
Step-2: Prime Factorization of 8932
Prime factors of 8932 are 2, 7, 11, 29. Prime factorization of 8932 in exponential form is:
8932 = 22 × 71 × 111 × 291
Step-3: Factors of 8918
List of positive integer factors of 8918 that divides 8918 without a remainder.
1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459
Step-4: Factors of 8932
List of positive integer factors of 8932 that divides 8918 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8918 and 8932. The biggest common factor number is the GCF number.
So the greatest common factor 8918 and 8932 is 14.
Also check out the Least Common Multiple of 8918 and 8932
Related Greatest Common Factors of 8918
- GCF of 8918 and 8922
- GCF of 8918 and 8923
- GCF of 8918 and 8924
- GCF of 8918 and 8925
- GCF of 8918 and 8926
- GCF of 8918 and 8927
- GCF of 8918 and 8928
- GCF of 8918 and 8929
- GCF of 8918 and 8930
- GCF of 8918 and 8931
- GCF of 8918 and 8932
- GCF of 8918 and 8933
- GCF of 8918 and 8934
- GCF of 8918 and 8935
- GCF of 8918 and 8936
- GCF of 8918 and 8937
- GCF of 8918 and 8938
Related Greatest Common Factors of 8932
- GCF of 8932 and 8936
- GCF of 8932 and 8937
- GCF of 8932 and 8938
- GCF of 8932 and 8939
- GCF of 8932 and 8940
- GCF of 8932 and 8941
- GCF of 8932 and 8942
- GCF of 8932 and 8943
- GCF of 8932 and 8944
- GCF of 8932 and 8945
- GCF of 8932 and 8946
- GCF of 8932 and 8947
- GCF of 8932 and 8948
- GCF of 8932 and 8949
- GCF of 8932 and 8950
- GCF of 8932 and 8951
- GCF of 8932 and 8952