What is the Greatest Common Factor of 69238 and 69251?

Greatest common factor (GCF) of 69238 and 69251 is 13.

GCF(69238,69251) = 13

We will now calculate the prime factors of 69238 and 69251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69238 and 69251.

How to find the GCF of 69238 and 69251?

We will first find the prime factorization of 69238 and 69251. After we will calculate the factors of 69238 and 69251 and find the biggest common factor number .

Step-1: Prime Factorization of 69238

Prime factors of 69238 are 2, 13, 2663. Prime factorization of 69238 in exponential form is:

69238 = 2¹ × 13¹ × 2663¹

Step-2: Prime Factorization of 69251

Prime factors of 69251 are 7, 13, 761. Prime factorization of 69251 in exponential form is:

69251 = 7¹ × 13¹ × 761¹

Step-3: Factors of 69238

List of positive integer factors of 69238 that divides 69238 without a remainder.

1, 2, 13, 26, 2663, 5326, 34619

Step-4: Factors of 69251

List of positive integer factors of 69251 that divides 69238 without a remainder.

1, 7, 13, 91, 761, 5327, 9893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69238 and 69251. The biggest common factor number is the GCF number.
So the greatest common factor 69238 and 69251 is 13.

Also check out the Least Common Multiple of 69238 and 69251