What is the Greatest Common Factor of 72514 and 72528?

Greatest common factor (GCF) of 72514 and 72528 is 2.

GCF(72514,72528) = 2

We will now calculate the prime factors of 72514 and 72528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72514 and 72528.

How to find the GCF of 72514 and 72528?

We will first find the prime factorization of 72514 and 72528. After we will calculate the factors of 72514 and 72528 and find the biggest common factor number .

Step-1: Prime Factorization of 72514

Prime factors of 72514 are 2, 13, 2789. Prime factorization of 72514 in exponential form is:

72514 = 2¹ × 13¹ × 2789¹

Step-2: Prime Factorization of 72528

Prime factors of 72528 are 2, 3, 1511. Prime factorization of 72528 in exponential form is:

72528 = 2⁴ × 3¹ × 1511¹

Step-3: Factors of 72514

List of positive integer factors of 72514 that divides 72514 without a remainder.

1, 2, 13, 26, 2789, 5578, 36257

Step-4: Factors of 72528

List of positive integer factors of 72528 that divides 72514 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1511, 3022, 4533, 6044, 9066, 12088, 18132, 24176, 36264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72514 and 72528. The biggest common factor number is the GCF number.
So the greatest common factor 72514 and 72528 is 2.

Also check out the Least Common Multiple of 72514 and 72528