What is the Greatest Common Factor of 87322 and 87336?

Greatest common factor (GCF) of 87322 and 87336 is 2.

GCF(87322,87336) = 2

We will now calculate the prime factors of 87322 and 87336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87322 and 87336.

How to find the GCF of 87322 and 87336?

We will first find the prime factorization of 87322 and 87336. After we will calculate the factors of 87322 and 87336 and find the biggest common factor number .

Step-1: Prime Factorization of 87322

Prime factors of 87322 are 2, 43661. Prime factorization of 87322 in exponential form is:

87322 = 2¹ × 43661¹

Step-2: Prime Factorization of 87336

Prime factors of 87336 are 2, 3, 1213. Prime factorization of 87336 in exponential form is:

87336 = 2³ × 3² × 1213¹

Step-3: Factors of 87322

List of positive integer factors of 87322 that divides 87322 without a remainder.

1, 2, 43661

Step-4: Factors of 87336

List of positive integer factors of 87336 that divides 87322 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1213, 2426, 3639, 4852, 7278, 9704, 10917, 14556, 21834, 29112, 43668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87322 and 87336. The biggest common factor number is the GCF number.
So the greatest common factor 87322 and 87336 is 2.

Also check out the Least Common Multiple of 87322 and 87336