What is the Greatest Common Factor of 49528 and 49542?

Greatest common factor (GCF) of 49528 and 49542 is 2.

GCF(49528,49542) = 2

We will now calculate the prime factors of 49528 and 49542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49528 and 49542.

How to find the GCF of 49528 and 49542?

We will first find the prime factorization of 49528 and 49542. After we will calculate the factors of 49528 and 49542 and find the biggest common factor number .

Step-1: Prime Factorization of 49528

Prime factors of 49528 are 2, 41, 151. Prime factorization of 49528 in exponential form is:

49528 = 2³ × 41¹ × 151¹

Step-2: Prime Factorization of 49542

Prime factors of 49542 are 2, 3, 23, 359. Prime factorization of 49542 in exponential form is:

49542 = 2¹ × 3¹ × 23¹ × 359¹

Step-3: Factors of 49528

List of positive integer factors of 49528 that divides 49528 without a remainder.

1, 2, 4, 8, 41, 82, 151, 164, 302, 328, 604, 1208, 6191, 12382, 24764

Step-4: Factors of 49542

List of positive integer factors of 49542 that divides 49528 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 359, 718, 1077, 2154, 8257, 16514, 24771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49528 and 49542. The biggest common factor number is the GCF number.
So the greatest common factor 49528 and 49542 is 2.

Also check out the Least Common Multiple of 49528 and 49542