What is the Greatest Common Factor of 49364 and 49376?

Greatest common factor (GCF) of 49364 and 49376 is 4.

GCF(49364,49376) = 4

We will now calculate the prime factors of 49364 and 49376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49364 and 49376.

How to find the GCF of 49364 and 49376?

We will first find the prime factorization of 49364 and 49376. After we will calculate the factors of 49364 and 49376 and find the biggest common factor number .

Step-1: Prime Factorization of 49364

Prime factors of 49364 are 2, 7, 41, 43. Prime factorization of 49364 in exponential form is:

49364 = 2² × 7¹ × 41¹ × 43¹

Step-2: Prime Factorization of 49376

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

49376 = 2⁵ × 1543¹

Step-3: Factors of 49364

List of positive integer factors of 49364 that divides 49364 without a remainder.

1, 2, 4, 7, 14, 28, 41, 43, 82, 86, 164, 172, 287, 301, 574, 602, 1148, 1204, 1763, 3526, 7052, 12341, 24682

Step-4: Factors of 49376

List of positive integer factors of 49376 that divides 49364 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49364 and 49376. The biggest common factor number is the GCF number.
So the greatest common factor 49364 and 49376 is 4.

Also check out the Least Common Multiple of 49364 and 49376