What is the Greatest Common Factor of 69295 and 69310?

Greatest common factor (GCF) of 69295 and 69310 is 5.

GCF(69295,69310) = 5

We will now calculate the prime factors of 69295 and 69310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69295 and 69310.

How to find the GCF of 69295 and 69310?

We will first find the prime factorization of 69295 and 69310. After we will calculate the factors of 69295 and 69310 and find the biggest common factor number .

Step-1: Prime Factorization of 69295

Prime factors of 69295 are 5, 13859. Prime factorization of 69295 in exponential form is:

69295 = 5¹ × 13859¹

Step-2: Prime Factorization of 69310

Prime factors of 69310 are 2, 5, 29, 239. Prime factorization of 69310 in exponential form is:

69310 = 2¹ × 5¹ × 29¹ × 239¹

Step-3: Factors of 69295

List of positive integer factors of 69295 that divides 69295 without a remainder.

1, 5, 13859

Step-4: Factors of 69310

List of positive integer factors of 69310 that divides 69295 without a remainder.

1, 2, 5, 10, 29, 58, 145, 239, 290, 478, 1195, 2390, 6931, 13862, 34655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69295 and 69310. The biggest common factor number is the GCF number.
So the greatest common factor 69295 and 69310 is 5.

Also check out the Least Common Multiple of 69295 and 69310