What is the Greatest Common Factor of 42412 and 42428?

Greatest common factor (GCF) of 42412 and 42428 is 4.

GCF(42412,42428) = 4

We will now calculate the prime factors of 42412 and 42428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42412 and 42428.

How to find the GCF of 42412 and 42428?

We will first find the prime factorization of 42412 and 42428. After we will calculate the factors of 42412 and 42428 and find the biggest common factor number .

Step-1: Prime Factorization of 42412

Prime factors of 42412 are 2, 23, 461. Prime factorization of 42412 in exponential form is:

42412 = 2² × 23¹ × 461¹

Step-2: Prime Factorization of 42428

Prime factors of 42428 are 2, 10607. Prime factorization of 42428 in exponential form is:

42428 = 2² × 10607¹

Step-3: Factors of 42412

List of positive integer factors of 42412 that divides 42412 without a remainder.

1, 2, 4, 23, 46, 92, 461, 922, 1844, 10603, 21206

Step-4: Factors of 42428

List of positive integer factors of 42428 that divides 42412 without a remainder.

1, 2, 4, 10607, 21214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42412 and 42428. The biggest common factor number is the GCF number.
So the greatest common factor 42412 and 42428 is 4.

Also check out the Least Common Multiple of 42412 and 42428