What is the Greatest Common Factor of 69025 and 69041?

Greatest common factor (GCF) of 69025 and 69041 is 1.

GCF(69025,69041) = 1

We will now calculate the prime factors of 69025 and 69041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69025 and 69041.

How to find the GCF of 69025 and 69041?

We will first find the prime factorization of 69025 and 69041. After we will calculate the factors of 69025 and 69041 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69041

Prime factors of 69041 are 7, 1409. Prime factorization of 69041 in exponential form is:

69041 = 7² × 1409¹

Step-3: Factors of 69025

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

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

Step-4: Factors of 69041

List of positive integer factors of 69041 that divides 69025 without a remainder.

1, 7, 49, 1409, 9863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69025 and 69041. The biggest common factor number is the GCF number.
So the greatest common factor 69025 and 69041 is 1.

Also check out the Least Common Multiple of 69025 and 69041