What is the Greatest Common Factor of 87342 and 87348?

Greatest common factor (GCF) of 87342 and 87348 is 6.

GCF(87342,87348) = 6

We will now calculate the prime factors of 87342 and 87348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87342 and 87348.

How to find the GCF of 87342 and 87348?

We will first find the prime factorization of 87342 and 87348. After we will calculate the factors of 87342 and 87348 and find the biggest common factor number .

Step-1: Prime Factorization of 87342

Prime factors of 87342 are 2, 3, 14557. Prime factorization of 87342 in exponential form is:

87342 = 2¹ × 3¹ × 14557¹

Step-2: Prime Factorization of 87348

Prime factors of 87348 are 2, 3, 29, 251. Prime factorization of 87348 in exponential form is:

87348 = 2² × 3¹ × 29¹ × 251¹

Step-3: Factors of 87342

List of positive integer factors of 87342 that divides 87342 without a remainder.

1, 2, 3, 6, 14557, 29114, 43671

Step-4: Factors of 87348

List of positive integer factors of 87348 that divides 87342 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 251, 348, 502, 753, 1004, 1506, 3012, 7279, 14558, 21837, 29116, 43674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87342 and 87348. The biggest common factor number is the GCF number.
So the greatest common factor 87342 and 87348 is 6.

Also check out the Least Common Multiple of 87342 and 87348