What is the Greatest Common Factor of 75072 and 75081?

Greatest common factor (GCF) of 75072 and 75081 is 3.

GCF(75072,75081) = 3

We will now calculate the prime factors of 75072 and 75081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75072 and 75081.

How to find the GCF of 75072 and 75081?

We will first find the prime factorization of 75072 and 75081. After we will calculate the factors of 75072 and 75081 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 75081

Prime factors of 75081 are 3, 29, 863. Prime factorization of 75081 in exponential form is:

75081 = 3¹ × 29¹ × 863¹

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 75081

List of positive integer factors of 75081 that divides 75072 without a remainder.

1, 3, 29, 87, 863, 2589, 25027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75072 and 75081. The biggest common factor number is the GCF number.
So the greatest common factor 75072 and 75081 is 3.

Also check out the Least Common Multiple of 75072 and 75081