What is the Greatest Common Factor of 87707 and 87714?

Greatest common factor (GCF) of 87707 and 87714 is 1.

GCF(87707,87714) = 1

We will now calculate the prime factors of 87707 and 87714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87707 and 87714.

How to find the GCF of 87707 and 87714?

We will first find the prime factorization of 87707 and 87714. After we will calculate the factors of 87707 and 87714 and find the biggest common factor number .

Step-1: Prime Factorization of 87707

Prime factors of 87707 are 229, 383. Prime factorization of 87707 in exponential form is:

87707 = 229¹ × 383¹

Step-2: Prime Factorization of 87714

Prime factors of 87714 are 2, 3, 11, 443. Prime factorization of 87714 in exponential form is:

87714 = 2¹ × 3² × 11¹ × 443¹

Step-3: Factors of 87707

List of positive integer factors of 87707 that divides 87707 without a remainder.

1, 229, 383

Step-4: Factors of 87714

List of positive integer factors of 87714 that divides 87707 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 443, 886, 1329, 2658, 3987, 4873, 7974, 9746, 14619, 29238, 43857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87707 and 87714. The biggest common factor number is the GCF number.
So the greatest common factor 87707 and 87714 is 1.

Also check out the Least Common Multiple of 87707 and 87714