What is the Greatest Common Factor of 87314 and 87320?

Greatest common factor (GCF) of 87314 and 87320 is 2.

GCF(87314,87320) = 2

We will now calculate the prime factors of 87314 and 87320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87314 and 87320.

How to find the GCF of 87314 and 87320?

We will first find the prime factorization of 87314 and 87320. After we will calculate the factors of 87314 and 87320 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 87320

Prime factors of 87320 are 2, 5, 37, 59. Prime factorization of 87320 in exponential form is:

87320 = 2³ × 5¹ × 37¹ × 59¹

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 87320

List of positive integer factors of 87320 that divides 87314 without a remainder.

1, 2, 4, 5, 8, 10, 20, 37, 40, 59, 74, 118, 148, 185, 236, 295, 296, 370, 472, 590, 740, 1180, 1480, 2183, 2360, 4366, 8732, 10915, 17464, 21830, 43660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87314 and 87320. The biggest common factor number is the GCF number.
So the greatest common factor 87314 and 87320 is 2.

Also check out the Least Common Multiple of 87314 and 87320