What is the Greatest Common Factor of 49452 and 49464?

Greatest common factor (GCF) of 49452 and 49464 is 12.

GCF(49452,49464) = 12

We will now calculate the prime factors of 49452 and 49464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49452 and 49464.

How to find the GCF of 49452 and 49464?

We will first find the prime factorization of 49452 and 49464. After we will calculate the factors of 49452 and 49464 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 49464

Prime factors of 49464 are 2, 3, 229. Prime factorization of 49464 in exponential form is:

49464 = 2³ × 3³ × 229¹

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 49464

List of positive integer factors of 49464 that divides 49452 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 229, 458, 687, 916, 1374, 1832, 2061, 2748, 4122, 5496, 6183, 8244, 12366, 16488, 24732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49452 and 49464. The biggest common factor number is the GCF number.
So the greatest common factor 49452 and 49464 is 12.

Also check out the Least Common Multiple of 49452 and 49464