What is the Greatest Common Factor of 75072 and 75077?

Greatest common factor (GCF) of 75072 and 75077 is 1.

GCF(75072,75077) = 1

We will now calculate the prime factors of 75072 and 75077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75072 and 75077.

How to find the GCF of 75072 and 75077?

We will first find the prime factorization of 75072 and 75077. After we will calculate the factors of 75072 and 75077 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 75077

Prime factors of 75077 are 193, 389. Prime factorization of 75077 in exponential form is:

75077 = 193¹ × 389¹

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 75077

List of positive integer factors of 75077 that divides 75072 without a remainder.

1, 193, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75072 and 75077. The biggest common factor number is the GCF number.
So the greatest common factor 75072 and 75077 is 1.

Also check out the Least Common Multiple of 75072 and 75077