What is the Greatest Common Factor of 70672 and 70689?

Greatest common factor (GCF) of 70672 and 70689 is 1.

GCF(70672,70689) = 1

We will now calculate the prime factors of 70672 and 70689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70672 and 70689.

How to find the GCF of 70672 and 70689?

We will first find the prime factorization of 70672 and 70689. After we will calculate the factors of 70672 and 70689 and find the biggest common factor number .

Step-1: Prime Factorization of 70672

Prime factors of 70672 are 2, 7, 631. Prime factorization of 70672 in exponential form is:

70672 = 2⁴ × 7¹ × 631¹

Step-2: Prime Factorization of 70689

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

70689 = 3¹ × 23563¹

Step-3: Factors of 70672

List of positive integer factors of 70672 that divides 70672 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 631, 1262, 2524, 4417, 5048, 8834, 10096, 17668, 35336

Step-4: Factors of 70689

List of positive integer factors of 70689 that divides 70672 without a remainder.

1, 3, 23563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70672 and 70689. The biggest common factor number is the GCF number.
So the greatest common factor 70672 and 70689 is 1.

Also check out the Least Common Multiple of 70672 and 70689