What is the Greatest Common Factor of 62328 and 62337?

Greatest common factor (GCF) of 62328 and 62337 is 3.

GCF(62328,62337) = 3

We will now calculate the prime factors of 62328 and 62337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62328 and 62337.

How to find the GCF of 62328 and 62337?

We will first find the prime factorization of 62328 and 62337. After we will calculate the factors of 62328 and 62337 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 62337

Prime factors of 62337 are 3, 11, 1889. Prime factorization of 62337 in exponential form is:

62337 = 3¹ × 11¹ × 1889¹

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 62337

List of positive integer factors of 62337 that divides 62328 without a remainder.

1, 3, 11, 33, 1889, 5667, 20779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62328 and 62337. The biggest common factor number is the GCF number.
So the greatest common factor 62328 and 62337 is 3.

Also check out the Least Common Multiple of 62328 and 62337