What is the Greatest Common Factor of 49508 and 49522?

Greatest common factor (GCF) of 49508 and 49522 is 2.

GCF(49508,49522) = 2

We will now calculate the prime factors of 49508 and 49522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49508 and 49522.

How to find the GCF of 49508 and 49522?

We will first find the prime factorization of 49508 and 49522. After we will calculate the factors of 49508 and 49522 and find the biggest common factor number .

Step-1: Prime Factorization of 49508

Prime factors of 49508 are 2, 12377. Prime factorization of 49508 in exponential form is:

49508 = 2² × 12377¹

Step-2: 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-3: Factors of 49508

List of positive integer factors of 49508 that divides 49508 without a remainder.

1, 2, 4, 12377, 24754

Step-4: Factors of 49522

List of positive integer factors of 49522 that divides 49508 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49508 and 49522. The biggest common factor number is the GCF number.
So the greatest common factor 49508 and 49522 is 2.

Also check out the Least Common Multiple of 49508 and 49522