What is the Greatest Common Factor of 5239 and 5251?

Greatest common factor (GCF) of 5239 and 5251 is 1.

GCF(5239,5251) = 1

We will now calculate the prime factors of 5239 and 5251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5239 and 5251.

How to find the GCF of 5239 and 5251?

We will first find the prime factorization of 5239 and 5251. After we will calculate the factors of 5239 and 5251 and find the biggest common factor number .

Step-1: Prime Factorization of 5239

Prime factors of 5239 are 13, 31. Prime factorization of 5239 in exponential form is:

5239 = 13² × 31¹

Step-2: Prime Factorization of 5251

Prime factors of 5251 are 59, 89. Prime factorization of 5251 in exponential form is:

5251 = 59¹ × 89¹

Step-3: Factors of 5239

List of positive integer factors of 5239 that divides 5239 without a remainder.

1, 13, 31, 169, 403

Step-4: Factors of 5251

List of positive integer factors of 5251 that divides 5239 without a remainder.

1, 59, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5239 and 5251. The biggest common factor number is the GCF number.
So the greatest common factor 5239 and 5251 is 1.

Also check out the Least Common Multiple of 5239 and 5251