What is the Greatest Common Factor of 49376 and 49396?

Greatest common factor (GCF) of 49376 and 49396 is 4.

GCF(49376,49396) = 4

We will now calculate the prime factors of 49376 and 49396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49376 and 49396.

How to find the GCF of 49376 and 49396?

We will first find the prime factorization of 49376 and 49396. After we will calculate the factors of 49376 and 49396 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 49396

Prime factors of 49396 are 2, 53, 233. Prime factorization of 49396 in exponential form is:

49396 = 2² × 53¹ × 233¹

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 49396

List of positive integer factors of 49396 that divides 49376 without a remainder.

1, 2, 4, 53, 106, 212, 233, 466, 932, 12349, 24698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49376 and 49396. The biggest common factor number is the GCF number.
So the greatest common factor 49376 and 49396 is 4.

Also check out the Least Common Multiple of 49376 and 49396