What is the Greatest Common Factor of 49312 and 49332?

Greatest common factor (GCF) of 49312 and 49332 is 4.

GCF(49312,49332) = 4

We will now calculate the prime factors of 49312 and 49332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49312 and 49332.

How to find the GCF of 49312 and 49332?

We will first find the prime factorization of 49312 and 49332. After we will calculate the factors of 49312 and 49332 and find the biggest common factor number .

Step-1: Prime Factorization of 49312

Prime factors of 49312 are 2, 23, 67. Prime factorization of 49312 in exponential form is:

49312 = 2⁵ × 23¹ × 67¹

Step-2: Prime Factorization of 49332

Prime factors of 49332 are 2, 3, 4111. Prime factorization of 49332 in exponential form is:

49332 = 2² × 3¹ × 4111¹

Step-3: Factors of 49312

List of positive integer factors of 49312 that divides 49312 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 67, 92, 134, 184, 268, 368, 536, 736, 1072, 1541, 2144, 3082, 6164, 12328, 24656

Step-4: Factors of 49332

List of positive integer factors of 49332 that divides 49312 without a remainder.

1, 2, 3, 4, 6, 12, 4111, 8222, 12333, 16444, 24666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49312 and 49332. The biggest common factor number is the GCF number.
So the greatest common factor 49312 and 49332 is 4.

Also check out the Least Common Multiple of 49312 and 49332