What is the Greatest Common Factor of 38272 and 38292?

Greatest common factor (GCF) of 38272 and 38292 is 4.

GCF(38272,38292) = 4

We will now calculate the prime factors of 38272 and 38292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38272 and 38292.

How to find the GCF of 38272 and 38292?

We will first find the prime factorization of 38272 and 38292. After we will calculate the factors of 38272 and 38292 and find the biggest common factor number .

Step-1: Prime Factorization of 38272

Prime factors of 38272 are 2, 13, 23. Prime factorization of 38272 in exponential form is:

38272 = 2⁷ × 13¹ × 23¹

Step-2: Prime Factorization of 38292

Prime factors of 38292 are 2, 3, 3191. Prime factorization of 38292 in exponential form is:

38292 = 2² × 3¹ × 3191¹

Step-3: Factors of 38272

List of positive integer factors of 38272 that divides 38272 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 64, 92, 104, 128, 184, 208, 299, 368, 416, 598, 736, 832, 1196, 1472, 1664, 2392, 2944, 4784, 9568, 19136

Step-4: Factors of 38292

List of positive integer factors of 38292 that divides 38272 without a remainder.

1, 2, 3, 4, 6, 12, 3191, 6382, 9573, 12764, 19146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38272 and 38292. The biggest common factor number is the GCF number.
So the greatest common factor 38272 and 38292 is 4.

Also check out the Least Common Multiple of 38272 and 38292