What is the Greatest Common Factor of 49452 and 49465?

Greatest common factor (GCF) of 49452 and 49465 is 13.

GCF(49452,49465) = 13

We will now calculate the prime factors of 49452 and 49465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49452 and 49465.

How to find the GCF of 49452 and 49465?

We will first find the prime factorization of 49452 and 49465. After we will calculate the factors of 49452 and 49465 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 49465

Prime factors of 49465 are 5, 13, 761. Prime factorization of 49465 in exponential form is:

49465 = 5¹ × 13¹ × 761¹

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 49465

List of positive integer factors of 49465 that divides 49452 without a remainder.

1, 5, 13, 65, 761, 3805, 9893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49452 and 49465. The biggest common factor number is the GCF number.
So the greatest common factor 49452 and 49465 is 13.

Also check out the Least Common Multiple of 49452 and 49465