What is the Greatest Common Factor of 75072 and 75080?

Greatest common factor (GCF) of 75072 and 75080 is 8.

GCF(75072,75080) = 8

We will now calculate the prime factors of 75072 and 75080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75072 and 75080.

How to find the GCF of 75072 and 75080?

We will first find the prime factorization of 75072 and 75080. After we will calculate the factors of 75072 and 75080 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75080

Prime factors of 75080 are 2, 5, 1877. Prime factorization of 75080 in exponential form is:

75080 = 2³ × 5¹ × 1877¹

Step-3: Factors of 75072

List of positive integer factors of 75072 that divides 75072 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

Step-4: Factors of 75080

List of positive integer factors of 75080 that divides 75072 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1877, 3754, 7508, 9385, 15016, 18770, 37540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75072 and 75080. The biggest common factor number is the GCF number.
So the greatest common factor 75072 and 75080 is 8.

Also check out the Least Common Multiple of 75072 and 75080