What is the Greatest Common Factor of 49952 and 49958?

Greatest common factor (GCF) of 49952 and 49958 is 2.

GCF(49952,49958) = 2

We will now calculate the prime factors of 49952 and 49958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49952 and 49958.

How to find the GCF of 49952 and 49958?

We will first find the prime factorization of 49952 and 49958. After we will calculate the factors of 49952 and 49958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49958

Prime factors of 49958 are 2, 24979. Prime factorization of 49958 in exponential form is:

49958 = 2¹ × 24979¹

Step-3: Factors of 49952

List of positive integer factors of 49952 that divides 49952 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

Step-4: Factors of 49958

List of positive integer factors of 49958 that divides 49952 without a remainder.

1, 2, 24979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49952 and 49958. The biggest common factor number is the GCF number.
So the greatest common factor 49952 and 49958 is 2.

Also check out the Least Common Multiple of 49952 and 49958