What is the Greatest Common Factor of 5238 and 5251?

Greatest common factor (GCF) of 5238 and 5251 is 1.

GCF(5238,5251) = 1

We will now calculate the prime factors of 5238 and 5251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5238 and 5251.

How to find the GCF of 5238 and 5251?

We will first find the prime factorization of 5238 and 5251. After we will calculate the factors of 5238 and 5251 and find the biggest common factor number .

Step-1: Prime Factorization of 5238

Prime factors of 5238 are 2, 3, 97. Prime factorization of 5238 in exponential form is:

5238 = 2¹ × 3³ × 97¹

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 5238

List of positive integer factors of 5238 that divides 5238 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619

Step-4: Factors of 5251

List of positive integer factors of 5251 that divides 5238 without a remainder.

1, 59, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5238 and 5251. The biggest common factor number is the GCF number.
So the greatest common factor 5238 and 5251 is 1.

Also check out the Least Common Multiple of 5238 and 5251