What is the Greatest Common Factor of 48251 and 48271?

Greatest common factor (GCF) of 48251 and 48271 is 1.

GCF(48251,48271) = 1

We will now calculate the prime factors of 48251 and 48271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48251 and 48271.

How to find the GCF of 48251 and 48271?

We will first find the prime factorization of 48251 and 48271. After we will calculate the factors of 48251 and 48271 and find the biggest common factor number .

Step-1: Prime Factorization of 48251

Prime factors of 48251 are 7, 61, 113. Prime factorization of 48251 in exponential form is:

48251 = 7¹ × 61¹ × 113¹

Step-2: Prime Factorization of 48271

Prime factors of 48271 are 48271. Prime factorization of 48271 in exponential form is:

48271 = 48271¹

Step-3: Factors of 48251

List of positive integer factors of 48251 that divides 48251 without a remainder.

1, 7, 61, 113, 427, 791, 6893

Step-4: Factors of 48271

List of positive integer factors of 48271 that divides 48251 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48251 and 48271. The biggest common factor number is the GCF number.
So the greatest common factor 48251 and 48271 is 1.

Also check out the Least Common Multiple of 48251 and 48271