What is the Greatest Common Factor of 48945 and 48961?

Greatest common factor (GCF) of 48945 and 48961 is 1.

GCF(48945,48961) = 1

We will now calculate the prime factors of 48945 and 48961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48945 and 48961.

How to find the GCF of 48945 and 48961?

We will first find the prime factorization of 48945 and 48961. After we will calculate the factors of 48945 and 48961 and find the biggest common factor number .

Step-1: Prime Factorization of 48945

Prime factors of 48945 are 3, 5, 13, 251. Prime factorization of 48945 in exponential form is:

48945 = 3¹ × 5¹ × 13¹ × 251¹

Step-2: Prime Factorization of 48961

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

48961 = 11¹ × 4451¹

Step-3: Factors of 48945

List of positive integer factors of 48945 that divides 48945 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 251, 753, 1255, 3263, 3765, 9789, 16315

Step-4: Factors of 48961

List of positive integer factors of 48961 that divides 48945 without a remainder.

1, 11, 4451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48945 and 48961. The biggest common factor number is the GCF number.
So the greatest common factor 48945 and 48961 is 1.

Also check out the Least Common Multiple of 48945 and 48961