What is the Greatest Common Factor of 42534 and 42552?

Greatest common factor (GCF) of 42534 and 42552 is 18.

GCF(42534,42552) = 18

We will now calculate the prime factors of 42534 and 42552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42534 and 42552.

How to find the GCF of 42534 and 42552?

We will first find the prime factorization of 42534 and 42552. After we will calculate the factors of 42534 and 42552 and find the biggest common factor number .

Step-1: Prime Factorization of 42534

Prime factors of 42534 are 2, 3, 17, 139. Prime factorization of 42534 in exponential form is:

42534 = 2¹ × 3² × 17¹ × 139¹

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 42534

List of positive integer factors of 42534 that divides 42534 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 139, 153, 278, 306, 417, 834, 1251, 2363, 2502, 4726, 7089, 14178, 21267

Step-4: Factors of 42552

List of positive integer factors of 42552 that divides 42534 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 42534 and 42552. The biggest common factor number is the GCF number.
So the greatest common factor 42534 and 42552 is 18.

Also check out the Least Common Multiple of 42534 and 42552