What is the Greatest Common Factor of 69574 and 69589?

Greatest common factor (GCF) of 69574 and 69589 is 1.

GCF(69574,69589) = 1

We will now calculate the prime factors of 69574 and 69589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69574 and 69589.

How to find the GCF of 69574 and 69589?

We will first find the prime factorization of 69574 and 69589. After we will calculate the factors of 69574 and 69589 and find the biggest common factor number .

Step-1: Prime Factorization of 69574

Prime factors of 69574 are 2, 43, 809. Prime factorization of 69574 in exponential form is:

69574 = 2¹ × 43¹ × 809¹

Step-2: Prime Factorization of 69589

Prime factors of 69589 are 13, 53, 101. Prime factorization of 69589 in exponential form is:

69589 = 13¹ × 53¹ × 101¹

Step-3: Factors of 69574

List of positive integer factors of 69574 that divides 69574 without a remainder.

1, 2, 43, 86, 809, 1618, 34787

Step-4: Factors of 69589

List of positive integer factors of 69589 that divides 69574 without a remainder.

1, 13, 53, 101, 689, 1313, 5353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69574 and 69589. The biggest common factor number is the GCF number.
So the greatest common factor 69574 and 69589 is 1.

Also check out the Least Common Multiple of 69574 and 69589