What is the Greatest Common Factor of 87102 and 87116?

Greatest common factor (GCF) of 87102 and 87116 is 2.

GCF(87102,87116) = 2

We will now calculate the prime factors of 87102 and 87116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87102 and 87116.

How to find the GCF of 87102 and 87116?

We will first find the prime factorization of 87102 and 87116. After we will calculate the factors of 87102 and 87116 and find the biggest common factor number .

Step-1: Prime Factorization of 87102

Prime factors of 87102 are 2, 3, 1613. Prime factorization of 87102 in exponential form is:

87102 = 2¹ × 3³ × 1613¹

Step-2: Prime Factorization of 87116

Prime factors of 87116 are 2, 29, 751. Prime factorization of 87116 in exponential form is:

87116 = 2² × 29¹ × 751¹

Step-3: Factors of 87102

List of positive integer factors of 87102 that divides 87102 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1613, 3226, 4839, 9678, 14517, 29034, 43551

Step-4: Factors of 87116

List of positive integer factors of 87116 that divides 87102 without a remainder.

1, 2, 4, 29, 58, 116, 751, 1502, 3004, 21779, 43558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87102 and 87116. The biggest common factor number is the GCF number.
So the greatest common factor 87102 and 87116 is 2.

Also check out the Least Common Multiple of 87102 and 87116