What is the Greatest Common Factor of 75056 and 75072?

Greatest common factor (GCF) of 75056 and 75072 is 16.

GCF(75056,75072) = 16

We will now calculate the prime factors of 75056 and 75072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75056 and 75072.

How to find the GCF of 75056 and 75072?

We will first find the prime factorization of 75056 and 75072. After we will calculate the factors of 75056 and 75072 and find the biggest common factor number .

Step-1: Prime Factorization of 75056

Prime factors of 75056 are 2, 4691. Prime factorization of 75056 in exponential form is:

75056 = 2⁴ × 4691¹

Step-2: Prime Factorization of 75072

Prime factors of 75072 are 2, 3, 17, 23. Prime factorization of 75072 in exponential form is:

75072 = 2⁶ × 3¹ × 17¹ × 23¹

Step-3: Factors of 75056

List of positive integer factors of 75056 that divides 75056 without a remainder.

1, 2, 4, 8, 16, 4691, 9382, 18764, 37528

Step-4: Factors of 75072

List of positive integer factors of 75072 that divides 75056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 32, 34, 46, 48, 51, 64, 68, 69, 92, 96, 102, 136, 138, 184, 192, 204, 272, 276, 368, 391, 408, 544, 552, 736, 782, 816, 1088, 1104, 1173, 1472, 1564, 1632, 2208, 2346, 3128, 3264, 4416, 4692, 6256, 9384, 12512, 18768, 25024, 37536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75056 and 75072. The biggest common factor number is the GCF number.
So the greatest common factor 75056 and 75072 is 16.

Also check out the Least Common Multiple of 75056 and 75072