What is the Greatest Common Factor of 70674 and 70691?

Greatest common factor (GCF) of 70674 and 70691 is 1.

GCF(70674,70691) = 1

We will now calculate the prime factors of 70674 and 70691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70674 and 70691.

How to find the GCF of 70674 and 70691?

We will first find the prime factorization of 70674 and 70691. After we will calculate the factors of 70674 and 70691 and find the biggest common factor number .

Step-1: Prime Factorization of 70674

Prime factors of 70674 are 2, 3, 11779. Prime factorization of 70674 in exponential form is:

70674 = 2¹ × 3¹ × 11779¹

Step-2: Prime Factorization of 70691

Prime factors of 70691 are 223, 317. Prime factorization of 70691 in exponential form is:

70691 = 223¹ × 317¹

Step-3: Factors of 70674

List of positive integer factors of 70674 that divides 70674 without a remainder.

1, 2, 3, 6, 11779, 23558, 35337

Step-4: Factors of 70691

List of positive integer factors of 70691 that divides 70674 without a remainder.

1, 223, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70674 and 70691. The biggest common factor number is the GCF number.
So the greatest common factor 70674 and 70691 is 1.

Also check out the Least Common Multiple of 70674 and 70691