What is the Greatest Common Factor of 49522 and 49528?

Greatest common factor (GCF) of 49522 and 49528 is 2.

GCF(49522,49528) = 2

We will now calculate the prime factors of 49522 and 49528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49522 and 49528.

How to find the GCF of 49522 and 49528?

We will first find the prime factorization of 49522 and 49528. After we will calculate the factors of 49522 and 49528 and find the biggest common factor number .

Step-1: Prime Factorization of 49522

Prime factors of 49522 are 2, 11, 2251. Prime factorization of 49522 in exponential form is:

49522 = 2¹ × 11¹ × 2251¹

Step-2: 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-3: Factors of 49522

List of positive integer factors of 49522 that divides 49522 without a remainder.

1, 2, 11, 22, 2251, 4502, 24761

Step-4: Factors of 49528

List of positive integer factors of 49528 that divides 49522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49522 and 49528. The biggest common factor number is the GCF number.
So the greatest common factor 49522 and 49528 is 2.

Also check out the Least Common Multiple of 49522 and 49528