What is the Greatest Common Factor of 69460 and 69466?

Greatest common factor (GCF) of 69460 and 69466 is 2.

GCF(69460,69466) = 2

We will now calculate the prime factors of 69460 and 69466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69460 and 69466.

How to find the GCF of 69460 and 69466?

We will first find the prime factorization of 69460 and 69466. After we will calculate the factors of 69460 and 69466 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 69466

Prime factors of 69466 are 2, 47, 739. Prime factorization of 69466 in exponential form is:

69466 = 2¹ × 47¹ × 739¹

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 69466

List of positive integer factors of 69466 that divides 69460 without a remainder.

1, 2, 47, 94, 739, 1478, 34733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69460 and 69466. The biggest common factor number is the GCF number.
So the greatest common factor 69460 and 69466 is 2.

Also check out the Least Common Multiple of 69460 and 69466