What is the Greatest Common Factor of 69188 and 69195?

Greatest common factor (GCF) of 69188 and 69195 is 7.

GCF(69188,69195) = 7

We will now calculate the prime factors of 69188 and 69195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69188 and 69195.

How to find the GCF of 69188 and 69195?

We will first find the prime factorization of 69188 and 69195. After we will calculate the factors of 69188 and 69195 and find the biggest common factor number .

Step-1: Prime Factorization of 69188

Prime factors of 69188 are 2, 7, 353. Prime factorization of 69188 in exponential form is:

69188 = 2² × 7² × 353¹

Step-2: Prime Factorization of 69195

Prime factors of 69195 are 3, 5, 7, 659. Prime factorization of 69195 in exponential form is:

69195 = 3¹ × 5¹ × 7¹ × 659¹

Step-3: Factors of 69188

List of positive integer factors of 69188 that divides 69188 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 353, 706, 1412, 2471, 4942, 9884, 17297, 34594

Step-4: Factors of 69195

List of positive integer factors of 69195 that divides 69188 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 659, 1977, 3295, 4613, 9885, 13839, 23065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69188 and 69195. The biggest common factor number is the GCF number.
So the greatest common factor 69188 and 69195 is 7.

Also check out the Least Common Multiple of 69188 and 69195