What is the Greatest Common Factor of 69610 and 69623?

Greatest common factor (GCF) of 69610 and 69623 is 1.

GCF(69610,69623) = 1

We will now calculate the prime factors of 69610 and 69623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69610 and 69623.

How to find the GCF of 69610 and 69623?

We will first find the prime factorization of 69610 and 69623. After we will calculate the factors of 69610 and 69623 and find the biggest common factor number .

Step-1: Prime Factorization of 69610

Prime factors of 69610 are 2, 5, 6961. Prime factorization of 69610 in exponential form is:

69610 = 2¹ × 5¹ × 6961¹

Step-2: Prime Factorization of 69623

Prime factors of 69623 are 69623. Prime factorization of 69623 in exponential form is:

69623 = 69623¹

Step-3: Factors of 69610

List of positive integer factors of 69610 that divides 69610 without a remainder.

1, 2, 5, 10, 6961, 13922, 34805

Step-4: Factors of 69623

List of positive integer factors of 69623 that divides 69610 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69610 and 69623. The biggest common factor number is the GCF number.
So the greatest common factor 69610 and 69623 is 1.

Also check out the Least Common Multiple of 69610 and 69623