What is the Greatest Common Factor of 49952 and 49970?

Greatest common factor (GCF) of 49952 and 49970 is 2.

GCF(49952,49970) = 2

We will now calculate the prime factors of 49952 and 49970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49952 and 49970.

How to find the GCF of 49952 and 49970?

We will first find the prime factorization of 49952 and 49970. After we will calculate the factors of 49952 and 49970 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 49970

Prime factors of 49970 are 2, 5, 19, 263. Prime factorization of 49970 in exponential form is:

49970 = 2¹ × 5¹ × 19¹ × 263¹

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 49970

List of positive integer factors of 49970 that divides 49952 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 263, 526, 1315, 2630, 4997, 9994, 24985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49952 and 49970. The biggest common factor number is the GCF number.
So the greatest common factor 49952 and 49970 is 2.

Also check out the Least Common Multiple of 49952 and 49970