What is the Greatest Common Factor of 42528 and 42532?

Greatest common factor (GCF) of 42528 and 42532 is 4.

GCF(42528,42532) = 4

We will now calculate the prime factors of 42528 and 42532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42528 and 42532.

How to find the GCF of 42528 and 42532?

We will first find the prime factorization of 42528 and 42532. After we will calculate the factors of 42528 and 42532 and find the biggest common factor number .

Step-1: Prime Factorization of 42528

Prime factors of 42528 are 2, 3, 443. Prime factorization of 42528 in exponential form is:

42528 = 2⁵ × 3¹ × 443¹

Step-2: Prime Factorization of 42532

Prime factors of 42532 are 2, 7, 31. Prime factorization of 42532 in exponential form is:

42532 = 2² × 7³ × 31¹

Step-3: Factors of 42528

List of positive integer factors of 42528 that divides 42528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 443, 886, 1329, 1772, 2658, 3544, 5316, 7088, 10632, 14176, 21264

Step-4: Factors of 42532

List of positive integer factors of 42532 that divides 42528 without a remainder.

1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 343, 434, 686, 868, 1372, 1519, 3038, 6076, 10633, 21266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42528 and 42532. The biggest common factor number is the GCF number.
So the greatest common factor 42528 and 42532 is 4.

Also check out the Least Common Multiple of 42528 and 42532