What is the Greatest Common Factor of 37268 and 37282?

Greatest common factor (GCF) of 37268 and 37282 is 14.

GCF(37268,37282) = 14

We will now calculate the prime factors of 37268 and 37282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37268 and 37282.

How to find the GCF of 37268 and 37282?

We will first find the prime factorization of 37268 and 37282. After we will calculate the factors of 37268 and 37282 and find the biggest common factor number .

Step-1: Prime Factorization of 37268

Prime factors of 37268 are 2, 7, 11. Prime factorization of 37268 in exponential form is:

37268 = 2² × 7¹ × 11³

Step-2: Prime Factorization of 37282

Prime factors of 37282 are 2, 7, 2663. Prime factorization of 37282 in exponential form is:

37282 = 2¹ × 7¹ × 2663¹

Step-3: Factors of 37268

List of positive integer factors of 37268 that divides 37268 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1331, 1694, 2662, 3388, 5324, 9317, 18634

Step-4: Factors of 37282

List of positive integer factors of 37282 that divides 37268 without a remainder.

1, 2, 7, 14, 2663, 5326, 18641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37268 and 37282. The biggest common factor number is the GCF number.
So the greatest common factor 37268 and 37282 is 14.

Also check out the Least Common Multiple of 37268 and 37282