What is the Greatest Common Factor of 87670 and 87687?

Greatest common factor (GCF) of 87670 and 87687 is 1.

GCF(87670,87687) = 1

We will now calculate the prime factors of 87670 and 87687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87670 and 87687.

How to find the GCF of 87670 and 87687?

We will first find the prime factorization of 87670 and 87687. After we will calculate the factors of 87670 and 87687 and find the biggest common factor number .

Step-1: Prime Factorization of 87670

Prime factors of 87670 are 2, 5, 11, 797. Prime factorization of 87670 in exponential form is:

87670 = 2¹ × 5¹ × 11¹ × 797¹

Step-2: Prime Factorization of 87687

Prime factors of 87687 are 3, 9743. Prime factorization of 87687 in exponential form is:

87687 = 3² × 9743¹

Step-3: Factors of 87670

List of positive integer factors of 87670 that divides 87670 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 797, 1594, 3985, 7970, 8767, 17534, 43835

Step-4: Factors of 87687

List of positive integer factors of 87687 that divides 87670 without a remainder.

1, 3, 9, 9743, 29229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87670 and 87687. The biggest common factor number is the GCF number.
So the greatest common factor 87670 and 87687 is 1.

Also check out the Least Common Multiple of 87670 and 87687