What is the Greatest Common Factor of 69810 and 69815?

Greatest common factor (GCF) of 69810 and 69815 is 5.

GCF(69810,69815) = 5

We will now calculate the prime factors of 69810 and 69815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69810 and 69815.

How to find the GCF of 69810 and 69815?

We will first find the prime factorization of 69810 and 69815. After we will calculate the factors of 69810 and 69815 and find the biggest common factor number .

Step-1: Prime Factorization of 69810

Prime factors of 69810 are 2, 3, 5, 13, 179. Prime factorization of 69810 in exponential form is:

69810 = 2¹ × 3¹ × 5¹ × 13¹ × 179¹

Step-2: Prime Factorization of 69815

Prime factors of 69815 are 5, 13963. Prime factorization of 69815 in exponential form is:

69815 = 5¹ × 13963¹

Step-3: Factors of 69810

List of positive integer factors of 69810 that divides 69810 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 179, 195, 358, 390, 537, 895, 1074, 1790, 2327, 2685, 4654, 5370, 6981, 11635, 13962, 23270, 34905

Step-4: Factors of 69815

List of positive integer factors of 69815 that divides 69810 without a remainder.

1, 5, 13963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69810 and 69815. The biggest common factor number is the GCF number.
So the greatest common factor 69810 and 69815 is 5.

Also check out the Least Common Multiple of 69810 and 69815