What is the Greatest Common Factor of 48961 and 48965?

Greatest common factor (GCF) of 48961 and 48965 is 1.

GCF(48961,48965) = 1

We will now calculate the prime factors of 48961 and 48965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48961 and 48965.

How to find the GCF of 48961 and 48965?

We will first find the prime factorization of 48961 and 48965. After we will calculate the factors of 48961 and 48965 and find the biggest common factor number .

Step-1: Prime Factorization of 48961

Prime factors of 48961 are 11, 4451. Prime factorization of 48961 in exponential form is:

48961 = 11¹ × 4451¹

Step-2: Prime Factorization of 48965

Prime factors of 48965 are 5, 7, 1399. Prime factorization of 48965 in exponential form is:

48965 = 5¹ × 7¹ × 1399¹

Step-3: Factors of 48961

List of positive integer factors of 48961 that divides 48961 without a remainder.

1, 11, 4451

Step-4: Factors of 48965

List of positive integer factors of 48965 that divides 48961 without a remainder.

1, 5, 7, 35, 1399, 6995, 9793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48961 and 48965. The biggest common factor number is the GCF number.
So the greatest common factor 48961 and 48965 is 1.

Also check out the Least Common Multiple of 48961 and 48965