What is the Greatest Common Factor of 20928 and 20932?
Greatest common factor (GCF) of 20928 and 20932 is 4.
GCF(20928,20932) = 4
We will now calculate the prime factors of 20928 and 20932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20928 and 20932.
How to find the GCF of 20928 and 20932?
We will first find the prime factorization of 20928 and 20932. After we will calculate the factors of 20928 and 20932 and find the biggest common factor number .
Step-1: Prime Factorization of 20928
Prime factors of 20928 are 2, 3, 109. Prime factorization of 20928 in exponential form is:
20928 = 26 × 31 × 1091
Step-2: Prime Factorization of 20932
Prime factors of 20932 are 2, 5233. Prime factorization of 20932 in exponential form is:
20932 = 22 × 52331
Step-3: Factors of 20928
List of positive integer factors of 20928 that divides 20928 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 109, 192, 218, 327, 436, 654, 872, 1308, 1744, 2616, 3488, 5232, 6976, 10464
Step-4: Factors of 20932
List of positive integer factors of 20932 that divides 20928 without a remainder.
1, 2, 4, 5233, 10466
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 20928 and 20932. The biggest common factor number is the GCF number.
So the greatest common factor 20928 and 20932 is 4.
Also check out the Least Common Multiple of 20928 and 20932
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Related Greatest Common Factors of 20932
- GCF of 20932 and 20936
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- GCF of 20932 and 20942
- GCF of 20932 and 20943
- GCF of 20932 and 20944
- GCF of 20932 and 20945
- GCF of 20932 and 20946
- GCF of 20932 and 20947
- GCF of 20932 and 20948
- GCF of 20932 and 20949
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