What is the Greatest Common Factor of 69008 and 69019?

Greatest common factor (GCF) of 69008 and 69019 is 1.

GCF(69008,69019) = 1

We will now calculate the prime factors of 69008 and 69019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69008 and 69019.

How to find the GCF of 69008 and 69019?

We will first find the prime factorization of 69008 and 69019. After we will calculate the factors of 69008 and 69019 and find the biggest common factor number .

Step-1: Prime Factorization of 69008

Prime factors of 69008 are 2, 19, 227. Prime factorization of 69008 in exponential form is:

69008 = 2⁴ × 19¹ × 227¹

Step-2: Prime Factorization of 69019

Prime factors of 69019 are 69019. Prime factorization of 69019 in exponential form is:

69019 = 69019¹

Step-3: Factors of 69008

List of positive integer factors of 69008 that divides 69008 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 227, 304, 454, 908, 1816, 3632, 4313, 8626, 17252, 34504

Step-4: Factors of 69019

List of positive integer factors of 69019 that divides 69008 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69008 and 69019. The biggest common factor number is the GCF number.
So the greatest common factor 69008 and 69019 is 1.

Also check out the Least Common Multiple of 69008 and 69019