What is the Greatest Common Factor of 33124 and 33142?

Greatest common factor (GCF) of 33124 and 33142 is 2.

GCF(33124,33142) = 2

We will now calculate the prime factors of 33124 and 33142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33124 and 33142.

How to find the GCF of 33124 and 33142?

We will first find the prime factorization of 33124 and 33142. After we will calculate the factors of 33124 and 33142 and find the biggest common factor number .

Step-1: Prime Factorization of 33124

Prime factors of 33124 are 2, 7, 13. Prime factorization of 33124 in exponential form is:

33124 = 2² × 7² × 13²

Step-2: Prime Factorization of 33142

Prime factors of 33142 are 2, 73, 227. Prime factorization of 33142 in exponential form is:

33142 = 2¹ × 73¹ × 227¹

Step-3: Factors of 33124

List of positive integer factors of 33124 that divides 33124 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 169, 182, 196, 338, 364, 637, 676, 1183, 1274, 2366, 2548, 4732, 8281, 16562

Step-4: Factors of 33142

List of positive integer factors of 33142 that divides 33124 without a remainder.

1, 2, 73, 146, 227, 454, 16571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33124 and 33142. The biggest common factor number is the GCF number.
So the greatest common factor 33124 and 33142 is 2.

Also check out the Least Common Multiple of 33124 and 33142