What is the Greatest Common Factor of 8932 and 8944?
Greatest common factor (GCF) of 8932 and 8944 is 4.
GCF(8932,8944) = 4
We will now calculate the prime factors of 8932 and 8944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8932 and 8944.
How to find the GCF of 8932 and 8944?
We will first find the prime factorization of 8932 and 8944. After we will calculate the factors of 8932 and 8944 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 8944
Prime factors of 8944 are 2, 13, 43. Prime factorization of 8944 in exponential form is:
8944 = 24 × 131 × 431
Step-3: Factors of 8932
List of positive integer factors of 8932 that divides 8932 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
Step-4: Factors of 8944
List of positive integer factors of 8944 that divides 8932 without a remainder.
1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8932 and 8944. The biggest common factor number is the GCF number.
So the greatest common factor 8932 and 8944 is 4.
Also check out the Least Common Multiple of 8932 and 8944
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Related Greatest Common Factors of 8944
- GCF of 8944 and 8948
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- GCF of 8944 and 8958
- GCF of 8944 and 8959
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