What is the Greatest Common Factor of 72566 and 72584?

Greatest common factor (GCF) of 72566 and 72584 is 2.

GCF(72566,72584) = 2

We will now calculate the prime factors of 72566 and 72584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72566 and 72584.

How to find the GCF of 72566 and 72584?

We will first find the prime factorization of 72566 and 72584. After we will calculate the factors of 72566 and 72584 and find the biggest common factor number .

Step-1: Prime Factorization of 72566

Prime factors of 72566 are 2, 13, 2791. Prime factorization of 72566 in exponential form is:

72566 = 2¹ × 13¹ × 2791¹

Step-2: 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-3: Factors of 72566

List of positive integer factors of 72566 that divides 72566 without a remainder.

1, 2, 13, 26, 2791, 5582, 36283

Step-4: Factors of 72584

List of positive integer factors of 72584 that divides 72566 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72566 and 72584. The biggest common factor number is the GCF number.
So the greatest common factor 72566 and 72584 is 2.

Also check out the Least Common Multiple of 72566 and 72584