What is the Greatest Common Factor of 49948 and 49952?

Greatest common factor (GCF) of 49948 and 49952 is 4.

GCF(49948,49952) = 4

We will now calculate the prime factors of 49948 and 49952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49948 and 49952.

How to find the GCF of 49948 and 49952?

We will first find the prime factorization of 49948 and 49952. After we will calculate the factors of 49948 and 49952 and find the biggest common factor number .

Step-1: Prime Factorization of 49948

Prime factors of 49948 are 2, 12487. Prime factorization of 49948 in exponential form is:

49948 = 2² × 12487¹

Step-2: Prime Factorization of 49952

Prime factors of 49952 are 2, 7, 223. Prime factorization of 49952 in exponential form is:

49952 = 2⁵ × 7¹ × 223¹

Step-3: Factors of 49948

List of positive integer factors of 49948 that divides 49948 without a remainder.

1, 2, 4, 12487, 24974

Step-4: Factors of 49952

List of positive integer factors of 49952 that divides 49948 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 223, 224, 446, 892, 1561, 1784, 3122, 3568, 6244, 7136, 12488, 24976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49948 and 49952. The biggest common factor number is the GCF number.
So the greatest common factor 49948 and 49952 is 4.

Also check out the Least Common Multiple of 49948 and 49952