What is the Greatest Common Factor of 42428 and 42448?

Greatest common factor (GCF) of 42428 and 42448 is 4.

GCF(42428,42448) = 4

We will now calculate the prime factors of 42428 and 42448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42428 and 42448.

How to find the GCF of 42428 and 42448?

We will first find the prime factorization of 42428 and 42448. After we will calculate the factors of 42428 and 42448 and find the biggest common factor number .

Step-1: Prime Factorization of 42428

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

42428 = 2² × 10607¹

Step-2: Prime Factorization of 42448

Prime factors of 42448 are 2, 7, 379. Prime factorization of 42448 in exponential form is:

42448 = 2⁴ × 7¹ × 379¹

Step-3: Factors of 42428

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

1, 2, 4, 10607, 21214

Step-4: Factors of 42448

List of positive integer factors of 42448 that divides 42428 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 379, 758, 1516, 2653, 3032, 5306, 6064, 10612, 21224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42428 and 42448. The biggest common factor number is the GCF number.
So the greatest common factor 42428 and 42448 is 4.

Also check out the Least Common Multiple of 42428 and 42448