What is the Greatest Common Factor of 49952 and 49956?

Greatest common factor (GCF) of 49952 and 49956 is 4.

GCF(49952,49956) = 4

We will now calculate the prime factors of 49952 and 49956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49952 and 49956.

How to find the GCF of 49952 and 49956?

We will first find the prime factorization of 49952 and 49956. After we will calculate the factors of 49952 and 49956 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 49956

Prime factors of 49956 are 2, 3, 23, 181. Prime factorization of 49956 in exponential form is:

49956 = 2² × 3¹ × 23¹ × 181¹

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 49956

List of positive integer factors of 49956 that divides 49952 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 181, 276, 362, 543, 724, 1086, 2172, 4163, 8326, 12489, 16652, 24978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49952 and 49956. The biggest common factor number is the GCF number.
So the greatest common factor 49952 and 49956 is 4.

Also check out the Least Common Multiple of 49952 and 49956