What is the Greatest Common Factor of 49952 and 49969?

Greatest common factor (GCF) of 49952 and 49969 is 1.

GCF(49952,49969) = 1

We will now calculate the prime factors of 49952 and 49969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49952 and 49969.

How to find the GCF of 49952 and 49969?

We will first find the prime factorization of 49952 and 49969. After we will calculate the factors of 49952 and 49969 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 49969

Prime factors of 49969 are 107, 467. Prime factorization of 49969 in exponential form is:

49969 = 107¹ × 467¹

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 49969

List of positive integer factors of 49969 that divides 49952 without a remainder.

1, 107, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49952 and 49969. The biggest common factor number is the GCF number.
So the greatest common factor 49952 and 49969 is 1.

Also check out the Least Common Multiple of 49952 and 49969