What is the Greatest Common Factor of 69695 and 69710?

Greatest common factor (GCF) of 69695 and 69710 is 5.

GCF(69695,69710) = 5

We will now calculate the prime factors of 69695 and 69710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69695 and 69710.

How to find the GCF of 69695 and 69710?

We will first find the prime factorization of 69695 and 69710. After we will calculate the factors of 69695 and 69710 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 69710

Prime factors of 69710 are 2, 5, 6971. Prime factorization of 69710 in exponential form is:

69710 = 2¹ × 5¹ × 6971¹

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 69710

List of positive integer factors of 69710 that divides 69695 without a remainder.

1, 2, 5, 10, 6971, 13942, 34855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69695 and 69710. The biggest common factor number is the GCF number.
So the greatest common factor 69695 and 69710 is 5.

Also check out the Least Common Multiple of 69695 and 69710