What is the Greatest Common Factor of 49376 and 49388?

Greatest common factor (GCF) of 49376 and 49388 is 4.

GCF(49376,49388) = 4

We will now calculate the prime factors of 49376 and 49388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49376 and 49388.

How to find the GCF of 49376 and 49388?

We will first find the prime factorization of 49376 and 49388. After we will calculate the factors of 49376 and 49388 and find the biggest common factor number .

Step-1: Prime Factorization of 49376

Prime factors of 49376 are 2, 1543. Prime factorization of 49376 in exponential form is:

49376 = 2⁵ × 1543¹

Step-2: Prime Factorization of 49388

Prime factors of 49388 are 2, 12347. Prime factorization of 49388 in exponential form is:

49388 = 2² × 12347¹

Step-3: Factors of 49376

List of positive integer factors of 49376 that divides 49376 without a remainder.

1, 2, 4, 8, 16, 32, 1543, 3086, 6172, 12344, 24688

Step-4: Factors of 49388

List of positive integer factors of 49388 that divides 49376 without a remainder.

1, 2, 4, 12347, 24694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49376 and 49388. The biggest common factor number is the GCF number.
So the greatest common factor 49376 and 49388 is 4.

Also check out the Least Common Multiple of 49376 and 49388