What is the Greatest Common Factor of 87109 and 87123?

Greatest common factor (GCF) of 87109 and 87123 is 1.

GCF(87109,87123) = 1

We will now calculate the prime factors of 87109 and 87123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87109 and 87123.

How to find the GCF of 87109 and 87123?

We will first find the prime factorization of 87109 and 87123. After we will calculate the factors of 87109 and 87123 and find the biggest common factor number .

Step-1: Prime Factorization of 87109

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

87109 = 11¹ × 7919¹

Step-2: Prime Factorization of 87123

Prime factors of 87123 are 3, 113, 257. Prime factorization of 87123 in exponential form is:

87123 = 3¹ × 113¹ × 257¹

Step-3: Factors of 87109

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

1, 11, 7919

Step-4: Factors of 87123

List of positive integer factors of 87123 that divides 87109 without a remainder.

1, 3, 113, 257, 339, 771, 29041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87109 and 87123. The biggest common factor number is the GCF number.
So the greatest common factor 87109 and 87123 is 1.

Also check out the Least Common Multiple of 87109 and 87123