What is the Greatest Common Factor of 69210 and 69225?

Greatest common factor (GCF) of 69210 and 69225 is 15.

GCF(69210,69225) = 15

We will now calculate the prime factors of 69210 and 69225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69210 and 69225.

How to find the GCF of 69210 and 69225?

We will first find the prime factorization of 69210 and 69225. After we will calculate the factors of 69210 and 69225 and find the biggest common factor number .

Step-1: Prime Factorization of 69210

Prime factors of 69210 are 2, 3, 5, 769. Prime factorization of 69210 in exponential form is:

69210 = 2¹ × 3² × 5¹ × 769¹

Step-2: 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-3: Factors of 69210

List of positive integer factors of 69210 that divides 69210 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 769, 1538, 2307, 3845, 4614, 6921, 7690, 11535, 13842, 23070, 34605

Step-4: Factors of 69225

List of positive integer factors of 69225 that divides 69210 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69210 and 69225. The biggest common factor number is the GCF number.
So the greatest common factor 69210 and 69225 is 15.

Also check out the Least Common Multiple of 69210 and 69225