What is the Greatest Common Factor of 69272 and 69286?

Greatest common factor (GCF) of 69272 and 69286 is 14.

GCF(69272,69286) = 14

We will now calculate the prime factors of 69272 and 69286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69272 and 69286.

How to find the GCF of 69272 and 69286?

We will first find the prime factorization of 69272 and 69286. After we will calculate the factors of 69272 and 69286 and find the biggest common factor number .

Step-1: Prime Factorization of 69272

Prime factors of 69272 are 2, 7, 1237. Prime factorization of 69272 in exponential form is:

69272 = 2³ × 7¹ × 1237¹

Step-2: Prime Factorization of 69286

Prime factors of 69286 are 2, 7, 101. Prime factorization of 69286 in exponential form is:

69286 = 2¹ × 7³ × 101¹

Step-3: Factors of 69272

List of positive integer factors of 69272 that divides 69272 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1237, 2474, 4948, 8659, 9896, 17318, 34636

Step-4: Factors of 69286

List of positive integer factors of 69286 that divides 69272 without a remainder.

1, 2, 7, 14, 49, 98, 101, 202, 343, 686, 707, 1414, 4949, 9898, 34643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69272 and 69286. The biggest common factor number is the GCF number.
So the greatest common factor 69272 and 69286 is 14.

Also check out the Least Common Multiple of 69272 and 69286