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What is the Greatest Common Factor of 37272 and 37276?

Greatest common factor (GCF) of 37272 and 37276 is 4.

GCF(37272,37276) = 4

We will now calculate the prime factors of 37272 and 37276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37272 and 37276.

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How to find the GCF of 37272 and 37276?

We will first find the prime factorization of 37272 and 37276. After we will calculate the factors of 37272 and 37276 and find the biggest common factor number .

Step-1: Prime Factorization of 37272

Prime factors of 37272 are 2, 3, 1553. Prime factorization of 37272 in exponential form is:

37272 = 23 × 31 × 15531

Step-2: Prime Factorization of 37276

Prime factors of 37276 are 2, 9319. Prime factorization of 37276 in exponential form is:

37276 = 22 × 93191

Step-3: Factors of 37272

List of positive integer factors of 37272 that divides 37272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1553, 3106, 4659, 6212, 9318, 12424, 18636

Step-4: Factors of 37276

List of positive integer factors of 37276 that divides 37272 without a remainder.

1, 2, 4, 9319, 18638

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37272 and 37276. The biggest common factor number is the GCF number.
So the greatest common factor 37272 and 37276 is 4.

Also check out the Least Common Multiple of 37272 and 37276