What is the Greatest Common Factor of 69234 and 69250?

Greatest common factor (GCF) of 69234 and 69250 is 2.

GCF(69234,69250) = 2

We will now calculate the prime factors of 69234 and 69250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69234 and 69250.

How to find the GCF of 69234 and 69250?

We will first find the prime factorization of 69234 and 69250. After we will calculate the factors of 69234 and 69250 and find the biggest common factor number .

Step-1: Prime Factorization of 69234

Prime factors of 69234 are 2, 3, 11, 1049. Prime factorization of 69234 in exponential form is:

69234 = 2¹ × 3¹ × 11¹ × 1049¹

Step-2: Prime Factorization of 69250

Prime factors of 69250 are 2, 5, 277. Prime factorization of 69250 in exponential form is:

69250 = 2¹ × 5³ × 277¹

Step-3: Factors of 69234

List of positive integer factors of 69234 that divides 69234 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1049, 2098, 3147, 6294, 11539, 23078, 34617

Step-4: Factors of 69250

List of positive integer factors of 69250 that divides 69234 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 277, 554, 1385, 2770, 6925, 13850, 34625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69234 and 69250. The biggest common factor number is the GCF number.
So the greatest common factor 69234 and 69250 is 2.

Also check out the Least Common Multiple of 69234 and 69250