What is the Greatest Common Factor of 69460 and 69470?

Greatest common factor (GCF) of 69460 and 69470 is 10.

GCF(69460,69470) = 10

We will now calculate the prime factors of 69460 and 69470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69460 and 69470.

How to find the GCF of 69460 and 69470?

We will first find the prime factorization of 69460 and 69470. After we will calculate the factors of 69460 and 69470 and find the biggest common factor number .

Step-1: Prime Factorization of 69460

Prime factors of 69460 are 2, 5, 23, 151. Prime factorization of 69460 in exponential form is:

69460 = 2² × 5¹ × 23¹ × 151¹

Step-2: Prime Factorization of 69470

Prime factors of 69470 are 2, 5, 6947. Prime factorization of 69470 in exponential form is:

69470 = 2¹ × 5¹ × 6947¹

Step-3: Factors of 69460

List of positive integer factors of 69460 that divides 69460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 151, 230, 302, 460, 604, 755, 1510, 3020, 3473, 6946, 13892, 17365, 34730

Step-4: Factors of 69470

List of positive integer factors of 69470 that divides 69460 without a remainder.

1, 2, 5, 10, 6947, 13894, 34735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69460 and 69470. The biggest common factor number is the GCF number.
So the greatest common factor 69460 and 69470 is 10.

Also check out the Least Common Multiple of 69460 and 69470