What is the Greatest Common Factor of 62328 and 62340?

Greatest common factor (GCF) of 62328 and 62340 is 12.

GCF(62328,62340) = 12

We will now calculate the prime factors of 62328 and 62340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62328 and 62340.

How to find the GCF of 62328 and 62340?

We will first find the prime factorization of 62328 and 62340. After we will calculate the factors of 62328 and 62340 and find the biggest common factor number .

Step-1: Prime Factorization of 62328

Prime factors of 62328 are 2, 3, 7, 53. Prime factorization of 62328 in exponential form is:

62328 = 2³ × 3¹ × 7² × 53¹

Step-2: Prime Factorization of 62340

Prime factors of 62340 are 2, 3, 5, 1039. Prime factorization of 62340 in exponential form is:

62340 = 2² × 3¹ × 5¹ × 1039¹

Step-3: Factors of 62328

List of positive integer factors of 62328 that divides 62328 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 53, 56, 84, 98, 106, 147, 159, 168, 196, 212, 294, 318, 371, 392, 424, 588, 636, 742, 1113, 1176, 1272, 1484, 2226, 2597, 2968, 4452, 5194, 7791, 8904, 10388, 15582, 20776, 31164

Step-4: Factors of 62340

List of positive integer factors of 62340 that divides 62328 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1039, 2078, 3117, 4156, 5195, 6234, 10390, 12468, 15585, 20780, 31170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62328 and 62340. The biggest common factor number is the GCF number.
So the greatest common factor 62328 and 62340 is 12.

Also check out the Least Common Multiple of 62328 and 62340