What is the Greatest Common Factor of 87314 and 87324?

Greatest common factor (GCF) of 87314 and 87324 is 2.

GCF(87314,87324) = 2

We will now calculate the prime factors of 87314 and 87324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87314 and 87324.

How to find the GCF of 87314 and 87324?

We will first find the prime factorization of 87314 and 87324. After we will calculate the factors of 87314 and 87324 and find the biggest common factor number .

Step-1: Prime Factorization of 87314

Prime factors of 87314 are 2, 149, 293. Prime factorization of 87314 in exponential form is:

87314 = 2¹ × 149¹ × 293¹

Step-2: Prime Factorization of 87324

Prime factors of 87324 are 2, 3, 19, 383. Prime factorization of 87324 in exponential form is:

87324 = 2² × 3¹ × 19¹ × 383¹

Step-3: Factors of 87314

List of positive integer factors of 87314 that divides 87314 without a remainder.

1, 2, 149, 293, 298, 586, 43657

Step-4: Factors of 87324

List of positive integer factors of 87324 that divides 87314 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 383, 766, 1149, 1532, 2298, 4596, 7277, 14554, 21831, 29108, 43662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87314 and 87324. The biggest common factor number is the GCF number.
So the greatest common factor 87314 and 87324 is 2.

Also check out the Least Common Multiple of 87314 and 87324