What is the Greatest Common Factor of 69225 and 69238?

Greatest common factor (GCF) of 69225 and 69238 is 13.

GCF(69225,69238) = 13

We will now calculate the prime factors of 69225 and 69238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69225 and 69238.

How to find the GCF of 69225 and 69238?

We will first find the prime factorization of 69225 and 69238. After we will calculate the factors of 69225 and 69238 and find the biggest common factor number .

Step-1: Prime Factorization of 69225

Prime factors of 69225 are 3, 5, 13, 71. Prime factorization of 69225 in exponential form is:

69225 = 3¹ × 5² × 13¹ × 71¹

Step-2: 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-3: Factors of 69225

List of positive integer factors of 69225 that divides 69225 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 71, 75, 195, 213, 325, 355, 923, 975, 1065, 1775, 2769, 4615, 5325, 13845, 23075

Step-4: Factors of 69238

List of positive integer factors of 69238 that divides 69225 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69225 and 69238. The biggest common factor number is the GCF number.
So the greatest common factor 69225 and 69238 is 13.

Also check out the Least Common Multiple of 69225 and 69238