What is the Greatest Common Factor of 72584 and 72588?

Greatest common factor (GCF) of 72584 and 72588 is 4.

GCF(72584,72588) = 4

We will now calculate the prime factors of 72584 and 72588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72584 and 72588.

How to find the GCF of 72584 and 72588?

We will first find the prime factorization of 72584 and 72588. After we will calculate the factors of 72584 and 72588 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 72588

Prime factors of 72588 are 2, 3, 23, 263. Prime factorization of 72588 in exponential form is:

72588 = 2² × 3¹ × 23¹ × 263¹

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 72588

List of positive integer factors of 72588 that divides 72584 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 263, 276, 526, 789, 1052, 1578, 3156, 6049, 12098, 18147, 24196, 36294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72584 and 72588. The biggest common factor number is the GCF number.
So the greatest common factor 72584 and 72588 is 4.

Also check out the Least Common Multiple of 72584 and 72588