What is the Greatest Common Factor of 4260 and 4272?

Greatest common factor (GCF) of 4260 and 4272 is 12.

GCF(4260,4272) = 12

We will now calculate the prime factors of 4260 and 4272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4260 and 4272.

How to find the GCF of 4260 and 4272?

We will first find the prime factorization of 4260 and 4272. After we will calculate the factors of 4260 and 4272 and find the biggest common factor number .

Step-1: Prime Factorization of 4260

Prime factors of 4260 are 2, 3, 5, 71. Prime factorization of 4260 in exponential form is:

4260 = 2² × 3¹ × 5¹ × 71¹

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 4260

List of positive integer factors of 4260 that divides 4260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130

Step-4: Factors of 4272

List of positive integer factors of 4272 that divides 4260 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 4260 and 4272. The biggest common factor number is the GCF number.
So the greatest common factor 4260 and 4272 is 12.

Also check out the Least Common Multiple of 4260 and 4272