What is the Greatest Common Factor of 73248 and 73256?

Greatest common factor (GCF) of 73248 and 73256 is 8.

GCF(73248,73256) = 8

We will now calculate the prime factors of 73248 and 73256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73248 and 73256.

How to find the GCF of 73248 and 73256?

We will first find the prime factorization of 73248 and 73256. After we will calculate the factors of 73248 and 73256 and find the biggest common factor number .

Step-1: Prime Factorization of 73248

Prime factors of 73248 are 2, 3, 7, 109. Prime factorization of 73248 in exponential form is:

73248 = 2⁵ × 3¹ × 7¹ × 109¹

Step-2: Prime Factorization of 73256

Prime factors of 73256 are 2, 9157. Prime factorization of 73256 in exponential form is:

73256 = 2³ × 9157¹

Step-3: Factors of 73248

List of positive integer factors of 73248 that divides 73248 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 109, 112, 168, 218, 224, 327, 336, 436, 654, 672, 763, 872, 1308, 1526, 1744, 2289, 2616, 3052, 3488, 4578, 5232, 6104, 9156, 10464, 12208, 18312, 24416, 36624

Step-4: Factors of 73256

List of positive integer factors of 73256 that divides 73248 without a remainder.

1, 2, 4, 8, 9157, 18314, 36628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73248 and 73256. The biggest common factor number is the GCF number.
So the greatest common factor 73248 and 73256 is 8.

Also check out the Least Common Multiple of 73248 and 73256