What is the Greatest Common Factor of 72528 and 72542?

Greatest common factor (GCF) of 72528 and 72542 is 2.

GCF(72528,72542) = 2

We will now calculate the prime factors of 72528 and 72542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72528 and 72542.

How to find the GCF of 72528 and 72542?

We will first find the prime factorization of 72528 and 72542. After we will calculate the factors of 72528 and 72542 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72542

Prime factors of 72542 are 2, 19, 23, 83. Prime factorization of 72542 in exponential form is:

72542 = 2¹ × 19¹ × 23¹ × 83¹

Step-3: Factors of 72528

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

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

Step-4: Factors of 72542

List of positive integer factors of 72542 that divides 72528 without a remainder.

1, 2, 19, 23, 38, 46, 83, 166, 437, 874, 1577, 1909, 3154, 3818, 36271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72528 and 72542. The biggest common factor number is the GCF number.
So the greatest common factor 72528 and 72542 is 2.

Also check out the Least Common Multiple of 72528 and 72542