What is the Greatest Common Factor of 69695 and 69715?

Greatest common factor (GCF) of 69695 and 69715 is 5.

GCF(69695,69715) = 5

We will now calculate the prime factors of 69695 and 69715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69695 and 69715.

How to find the GCF of 69695 and 69715?

We will first find the prime factorization of 69695 and 69715. After we will calculate the factors of 69695 and 69715 and find the biggest common factor number .

Step-1: Prime Factorization of 69695

Prime factors of 69695 are 5, 53, 263. Prime factorization of 69695 in exponential form is:

69695 = 5¹ × 53¹ × 263¹

Step-2: Prime Factorization of 69715

Prime factors of 69715 are 5, 73, 191. Prime factorization of 69715 in exponential form is:

69715 = 5¹ × 73¹ × 191¹

Step-3: Factors of 69695

List of positive integer factors of 69695 that divides 69695 without a remainder.

1, 5, 53, 263, 265, 1315, 13939

Step-4: Factors of 69715

List of positive integer factors of 69715 that divides 69695 without a remainder.

1, 5, 73, 191, 365, 955, 13943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69695 and 69715. The biggest common factor number is the GCF number.
So the greatest common factor 69695 and 69715 is 5.

Also check out the Least Common Multiple of 69695 and 69715