What is the Greatest Common Factor of 12638 and 12652?
Greatest common factor (GCF) of 12638 and 12652 is 2.
GCF(12638,12652) = 2
We will now calculate the prime factors of 12638 and 12652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12638 and 12652.
How to find the GCF of 12638 and 12652?
We will first find the prime factorization of 12638 and 12652. After we will calculate the factors of 12638 and 12652 and find the biggest common factor number .
Step-1: Prime Factorization of 12638
Prime factors of 12638 are 2, 71, 89. Prime factorization of 12638 in exponential form is:
12638 = 21 × 711 × 891
Step-2: Prime Factorization of 12652
Prime factors of 12652 are 2, 3163. Prime factorization of 12652 in exponential form is:
12652 = 22 × 31631
Step-3: Factors of 12638
List of positive integer factors of 12638 that divides 12638 without a remainder.
1, 2, 71, 89, 142, 178, 6319
Step-4: Factors of 12652
List of positive integer factors of 12652 that divides 12638 without a remainder.
1, 2, 4, 3163, 6326
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12638 and 12652. The biggest common factor number is the GCF number.
So the greatest common factor 12638 and 12652 is 2.
Also check out the Least Common Multiple of 12638 and 12652
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Related Greatest Common Factors of 12652
- GCF of 12652 and 12656
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