What is the Greatest Common Factor of 70689 and 70702?

Greatest common factor (GCF) of 70689 and 70702 is 1.

GCF(70689,70702) = 1

We will now calculate the prime factors of 70689 and 70702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70689 and 70702.

How to find the GCF of 70689 and 70702?

We will first find the prime factorization of 70689 and 70702. After we will calculate the factors of 70689 and 70702 and find the biggest common factor number .

Step-1: Prime Factorization of 70689

Prime factors of 70689 are 3, 23563. Prime factorization of 70689 in exponential form is:

70689 = 3¹ × 23563¹

Step-2: Prime Factorization of 70702

Prime factors of 70702 are 2, 23, 29, 53. Prime factorization of 70702 in exponential form is:

70702 = 2¹ × 23¹ × 29¹ × 53¹

Step-3: Factors of 70689

List of positive integer factors of 70689 that divides 70689 without a remainder.

1, 3, 23563

Step-4: Factors of 70702

List of positive integer factors of 70702 that divides 70689 without a remainder.

1, 2, 23, 29, 46, 53, 58, 106, 667, 1219, 1334, 1537, 2438, 3074, 35351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70689 and 70702. The biggest common factor number is the GCF number.
So the greatest common factor 70689 and 70702 is 1.

Also check out the Least Common Multiple of 70689 and 70702