What is the Greatest Common Factor of 4248 and 4264?

Greatest common factor (GCF) of 4248 and 4264 is 8.

GCF(4248,4264) = 8

We will now calculate the prime factors of 4248 and 4264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4248 and 4264.

How to find the GCF of 4248 and 4264?

We will first find the prime factorization of 4248 and 4264. After we will calculate the factors of 4248 and 4264 and find the biggest common factor number .

Step-1: Prime Factorization of 4248

Prime factors of 4248 are 2, 3, 59. Prime factorization of 4248 in exponential form is:

4248 = 2³ × 3² × 59¹

Step-2: Prime Factorization of 4264

Prime factors of 4264 are 2, 13, 41. Prime factorization of 4264 in exponential form is:

4264 = 2³ × 13¹ × 41¹

Step-3: Factors of 4248

List of positive integer factors of 4248 that divides 4248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124

Step-4: Factors of 4264

List of positive integer factors of 4264 that divides 4248 without a remainder.

1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4248 and 4264. The biggest common factor number is the GCF number.
So the greatest common factor 4248 and 4264 is 8.

Also check out the Least Common Multiple of 4248 and 4264