What is the Greatest Common Factor of 87339 and 87346?

Greatest common factor (GCF) of 87339 and 87346 is 7.

GCF(87339,87346) = 7

We will now calculate the prime factors of 87339 and 87346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87339 and 87346.

How to find the GCF of 87339 and 87346?

We will first find the prime factorization of 87339 and 87346. After we will calculate the factors of 87339 and 87346 and find the biggest common factor number .

Step-1: Prime Factorization of 87339

Prime factors of 87339 are 3, 7, 4159. Prime factorization of 87339 in exponential form is:

87339 = 3¹ × 7¹ × 4159¹

Step-2: Prime Factorization of 87346

Prime factors of 87346 are 2, 7, 17, 367. Prime factorization of 87346 in exponential form is:

87346 = 2¹ × 7¹ × 17¹ × 367¹

Step-3: Factors of 87339

List of positive integer factors of 87339 that divides 87339 without a remainder.

1, 3, 7, 21, 4159, 12477, 29113

Step-4: Factors of 87346

List of positive integer factors of 87346 that divides 87339 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 367, 734, 2569, 5138, 6239, 12478, 43673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87339 and 87346. The biggest common factor number is the GCF number.
So the greatest common factor 87339 and 87346 is 7.

Also check out the Least Common Multiple of 87339 and 87346