What is the Greatest Common Factor of 69008 and 69025?

Greatest common factor (GCF) of 69008 and 69025 is 1.

GCF(69008,69025) = 1

We will now calculate the prime factors of 69008 and 69025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69008 and 69025.

How to find the GCF of 69008 and 69025?

We will first find the prime factorization of 69008 and 69025. After we will calculate the factors of 69008 and 69025 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 69025

Prime factors of 69025 are 5, 11, 251. Prime factorization of 69025 in exponential form is:

69025 = 5² × 11¹ × 251¹

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 69025

List of positive integer factors of 69025 that divides 69008 without a remainder.

1, 5, 11, 25, 55, 251, 275, 1255, 2761, 6275, 13805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69008 and 69025. The biggest common factor number is the GCF number.
So the greatest common factor 69008 and 69025 is 1.

Also check out the Least Common Multiple of 69008 and 69025