What is the Greatest Common Factor of 49452 and 49461?

Greatest common factor (GCF) of 49452 and 49461 is 3.

GCF(49452,49461) = 3

We will now calculate the prime factors of 49452 and 49461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49452 and 49461.

How to find the GCF of 49452 and 49461?

We will first find the prime factorization of 49452 and 49461. After we will calculate the factors of 49452 and 49461 and find the biggest common factor number .

Step-1: Prime Factorization of 49452

Prime factors of 49452 are 2, 3, 13, 317. Prime factorization of 49452 in exponential form is:

49452 = 2² × 3¹ × 13¹ × 317¹

Step-2: Prime Factorization of 49461

Prime factors of 49461 are 3, 16487. Prime factorization of 49461 in exponential form is:

49461 = 3¹ × 16487¹

Step-3: Factors of 49452

List of positive integer factors of 49452 that divides 49452 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 317, 634, 951, 1268, 1902, 3804, 4121, 8242, 12363, 16484, 24726

Step-4: Factors of 49461

List of positive integer factors of 49461 that divides 49452 without a remainder.

1, 3, 16487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49452 and 49461. The biggest common factor number is the GCF number.
So the greatest common factor 49452 and 49461 is 3.

Also check out the Least Common Multiple of 49452 and 49461