What is the Greatest Common Factor of 87710 and 87714?

Greatest common factor (GCF) of 87710 and 87714 is 2.

GCF(87710,87714) = 2

We will now calculate the prime factors of 87710 and 87714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87710 and 87714.

How to find the GCF of 87710 and 87714?

We will first find the prime factorization of 87710 and 87714. After we will calculate the factors of 87710 and 87714 and find the biggest common factor number .

Step-1: Prime Factorization of 87710

Prime factors of 87710 are 2, 5, 7, 179. Prime factorization of 87710 in exponential form is:

87710 = 2¹ × 5¹ × 7² × 179¹

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 87710

List of positive integer factors of 87710 that divides 87710 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 179, 245, 358, 490, 895, 1253, 1790, 2506, 6265, 8771, 12530, 17542, 43855

Step-4: Factors of 87714

List of positive integer factors of 87714 that divides 87710 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 87710 and 87714. The biggest common factor number is the GCF number.
So the greatest common factor 87710 and 87714 is 2.

Also check out the Least Common Multiple of 87710 and 87714