What is the Greatest Common Factor of 49952 and 49968?

Greatest common factor (GCF) of 49952 and 49968 is 16.

GCF(49952,49968) = 16

We will now calculate the prime factors of 49952 and 49968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49952 and 49968.

How to find the GCF of 49952 and 49968?

We will first find the prime factorization of 49952 and 49968. After we will calculate the factors of 49952 and 49968 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 49968

Prime factors of 49968 are 2, 3, 347. Prime factorization of 49968 in exponential form is:

49968 = 2⁴ × 3² × 347¹

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 49968

List of positive integer factors of 49968 that divides 49952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 5552, 6246, 8328, 12492, 16656, 24984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49952 and 49968. The biggest common factor number is the GCF number.
So the greatest common factor 49952 and 49968 is 16.

Also check out the Least Common Multiple of 49952 and 49968