What is the Greatest Common Factor of 70574 and 70589?

Greatest common factor (GCF) of 70574 and 70589 is 1.

GCF(70574,70589) = 1

We will now calculate the prime factors of 70574 and 70589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70574 and 70589.

How to find the GCF of 70574 and 70589?

We will first find the prime factorization of 70574 and 70589. After we will calculate the factors of 70574 and 70589 and find the biggest common factor number .

Step-1: Prime Factorization of 70574

Prime factors of 70574 are 2, 7, 71. Prime factorization of 70574 in exponential form is:

70574 = 2¹ × 7¹ × 71²

Step-2: Prime Factorization of 70589

Prime factors of 70589 are 70589. Prime factorization of 70589 in exponential form is:

70589 = 70589¹

Step-3: Factors of 70574

List of positive integer factors of 70574 that divides 70574 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994, 5041, 10082, 35287

Step-4: Factors of 70589

List of positive integer factors of 70589 that divides 70574 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70574 and 70589. The biggest common factor number is the GCF number.
So the greatest common factor 70574 and 70589 is 1.

Also check out the Least Common Multiple of 70574 and 70589