What is the Greatest Common Factor of 48251 and 48257?

Greatest common factor (GCF) of 48251 and 48257 is 1.

GCF(48251,48257) = 1

We will now calculate the prime factors of 48251 and 48257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48251 and 48257.

How to find the GCF of 48251 and 48257?

We will first find the prime factorization of 48251 and 48257. After we will calculate the factors of 48251 and 48257 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 48257

Prime factors of 48257 are 11, 41, 107. Prime factorization of 48257 in exponential form is:

48257 = 11¹ × 41¹ × 107¹

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 48257

List of positive integer factors of 48257 that divides 48251 without a remainder.

1, 11, 41, 107, 451, 1177, 4387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48251 and 48257. The biggest common factor number is the GCF number.
So the greatest common factor 48251 and 48257 is 1.

Also check out the Least Common Multiple of 48251 and 48257