What is the Greatest Common Factor of 87102 and 87109?

Greatest common factor (GCF) of 87102 and 87109 is 1.

GCF(87102,87109) = 1

We will now calculate the prime factors of 87102 and 87109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87102 and 87109.

How to find the GCF of 87102 and 87109?

We will first find the prime factorization of 87102 and 87109. After we will calculate the factors of 87102 and 87109 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 87109

Prime factors of 87109 are 11, 7919. Prime factorization of 87109 in exponential form is:

87109 = 11¹ × 7919¹

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 87109

List of positive integer factors of 87109 that divides 87102 without a remainder.

1, 11, 7919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87102 and 87109. The biggest common factor number is the GCF number.
So the greatest common factor 87102 and 87109 is 1.

Also check out the Least Common Multiple of 87102 and 87109