What is the Greatest Common Factor of 4258 and 4272?

Greatest common factor (GCF) of 4258 and 4272 is 2.

GCF(4258,4272) = 2

We will now calculate the prime factors of 4258 and 4272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4258 and 4272.

How to find the GCF of 4258 and 4272?

We will first find the prime factorization of 4258 and 4272. After we will calculate the factors of 4258 and 4272 and find the biggest common factor number .

Step-1: Prime Factorization of 4258

Prime factors of 4258 are 2, 2129. Prime factorization of 4258 in exponential form is:

4258 = 2¹ × 2129¹

Step-2: Prime Factorization of 4272

Prime factors of 4272 are 2, 3, 89. Prime factorization of 4272 in exponential form is:

4272 = 2⁴ × 3¹ × 89¹

Step-3: Factors of 4258

List of positive integer factors of 4258 that divides 4258 without a remainder.

1, 2, 2129

Step-4: Factors of 4272

List of positive integer factors of 4272 that divides 4258 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4258 and 4272. The biggest common factor number is the GCF number.
So the greatest common factor 4258 and 4272 is 2.

Also check out the Least Common Multiple of 4258 and 4272