What is the Greatest Common Factor of 49533 and 49552?

Greatest common factor (GCF) of 49533 and 49552 is 19.

GCF(49533,49552) = 19

We will now calculate the prime factors of 49533 and 49552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49533 and 49552.

How to find the GCF of 49533 and 49552?

We will first find the prime factorization of 49533 and 49552. After we will calculate the factors of 49533 and 49552 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49552

Prime factors of 49552 are 2, 19, 163. Prime factorization of 49552 in exponential form is:

49552 = 2⁴ × 19¹ × 163¹

Step-3: Factors of 49533

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

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

Step-4: Factors of 49552

List of positive integer factors of 49552 that divides 49533 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 163, 304, 326, 652, 1304, 2608, 3097, 6194, 12388, 24776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49533 and 49552. The biggest common factor number is the GCF number.
So the greatest common factor 49533 and 49552 is 19.

Also check out the Least Common Multiple of 49533 and 49552