What is the Greatest Common Factor of 42538 and 42552?

Greatest common factor (GCF) of 42538 and 42552 is 2.

GCF(42538,42552) = 2

We will now calculate the prime factors of 42538 and 42552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42538 and 42552.

How to find the GCF of 42538 and 42552?

We will first find the prime factorization of 42538 and 42552. After we will calculate the factors of 42538 and 42552 and find the biggest common factor number .

Step-1: Prime Factorization of 42538

Prime factors of 42538 are 2, 21269. Prime factorization of 42538 in exponential form is:

42538 = 2¹ × 21269¹

Step-2: Prime Factorization of 42552

Prime factors of 42552 are 2, 3, 197. Prime factorization of 42552 in exponential form is:

42552 = 2³ × 3³ × 197¹

Step-3: Factors of 42538

List of positive integer factors of 42538 that divides 42538 without a remainder.

1, 2, 21269

Step-4: Factors of 42552

List of positive integer factors of 42552 that divides 42538 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 197, 216, 394, 591, 788, 1182, 1576, 1773, 2364, 3546, 4728, 5319, 7092, 10638, 14184, 21276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42538 and 42552. The biggest common factor number is the GCF number.
So the greatest common factor 42538 and 42552 is 2.

Also check out the Least Common Multiple of 42538 and 42552