What is the Greatest Common Factor of 71574 and 71592?

Greatest common factor (GCF) of 71574 and 71592 is 6.

GCF(71574,71592) = 6

We will now calculate the prime factors of 71574 and 71592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71574 and 71592.

How to find the GCF of 71574 and 71592?

We will first find the prime factorization of 71574 and 71592. After we will calculate the factors of 71574 and 71592 and find the biggest common factor number .

Step-1: Prime Factorization of 71574

Prime factors of 71574 are 2, 3, 79, 151. Prime factorization of 71574 in exponential form is:

71574 = 2¹ × 3¹ × 79¹ × 151¹

Step-2: Prime Factorization of 71592

Prime factors of 71592 are 2, 3, 19, 157. Prime factorization of 71592 in exponential form is:

71592 = 2³ × 3¹ × 19¹ × 157¹

Step-3: Factors of 71574

List of positive integer factors of 71574 that divides 71574 without a remainder.

1, 2, 3, 6, 79, 151, 158, 237, 302, 453, 474, 906, 11929, 23858, 35787

Step-4: Factors of 71592

List of positive integer factors of 71592 that divides 71574 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 157, 228, 314, 456, 471, 628, 942, 1256, 1884, 2983, 3768, 5966, 8949, 11932, 17898, 23864, 35796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71574 and 71592. The biggest common factor number is the GCF number.
So the greatest common factor 71574 and 71592 is 6.

Also check out the Least Common Multiple of 71574 and 71592