What is the Greatest Common Factor of 72584 and 72592?

Greatest common factor (GCF) of 72584 and 72592 is 8.

GCF(72584,72592) = 8

We will now calculate the prime factors of 72584 and 72592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72584 and 72592.

How to find the GCF of 72584 and 72592?

We will first find the prime factorization of 72584 and 72592. After we will calculate the factors of 72584 and 72592 and find the biggest common factor number .

Step-1: Prime Factorization of 72584

Prime factors of 72584 are 2, 43, 211. Prime factorization of 72584 in exponential form is:

72584 = 2³ × 43¹ × 211¹

Step-2: Prime Factorization of 72592

Prime factors of 72592 are 2, 13, 349. Prime factorization of 72592 in exponential form is:

72592 = 2⁴ × 13¹ × 349¹

Step-3: Factors of 72584

List of positive integer factors of 72584 that divides 72584 without a remainder.

1, 2, 4, 8, 43, 86, 172, 211, 344, 422, 844, 1688, 9073, 18146, 36292

Step-4: Factors of 72592

List of positive integer factors of 72592 that divides 72584 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 349, 698, 1396, 2792, 4537, 5584, 9074, 18148, 36296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72584 and 72592. The biggest common factor number is the GCF number.
So the greatest common factor 72584 and 72592 is 8.

Also check out the Least Common Multiple of 72584 and 72592