What is the Greatest Common Factor of 87336 and 87349?

Greatest common factor (GCF) of 87336 and 87349 is 1.

GCF(87336,87349) = 1

We will now calculate the prime factors of 87336 and 87349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87336 and 87349.

How to find the GCF of 87336 and 87349?

We will first find the prime factorization of 87336 and 87349. After we will calculate the factors of 87336 and 87349 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87349

Prime factors of 87349 are 113, 773. Prime factorization of 87349 in exponential form is:

87349 = 113¹ × 773¹

Step-3: Factors of 87336

List of positive integer factors of 87336 that divides 87336 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

Step-4: Factors of 87349

List of positive integer factors of 87349 that divides 87336 without a remainder.

1, 113, 773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87336 and 87349. The biggest common factor number is the GCF number.
So the greatest common factor 87336 and 87349 is 1.

Also check out the Least Common Multiple of 87336 and 87349