What is the Greatest Common Factor of 49516 and 49533?

Greatest common factor (GCF) of 49516 and 49533 is 1.

GCF(49516,49533) = 1

We will now calculate the prime factors of 49516 and 49533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49516 and 49533.

How to find the GCF of 49516 and 49533?

We will first find the prime factorization of 49516 and 49533. After we will calculate the factors of 49516 and 49533 and find the biggest common factor number .

Step-1: Prime Factorization of 49516

Prime factors of 49516 are 2, 12379. Prime factorization of 49516 in exponential form is:

49516 = 2² × 12379¹

Step-2: Prime Factorization of 49533

Prime factors of 49533 are 3, 11, 19, 79. Prime factorization of 49533 in exponential form is:

49533 = 3¹ × 11¹ × 19¹ × 79¹

Step-3: Factors of 49516

List of positive integer factors of 49516 that divides 49516 without a remainder.

1, 2, 4, 12379, 24758

Step-4: Factors of 49533

List of positive integer factors of 49533 that divides 49516 without a remainder.

1, 3, 11, 19, 33, 57, 79, 209, 237, 627, 869, 1501, 2607, 4503, 16511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49516 and 49533. The biggest common factor number is the GCF number.
So the greatest common factor 49516 and 49533 is 1.

Also check out the Least Common Multiple of 49516 and 49533