What is the Greatest Common Factor of 62328 and 62335?

Greatest common factor (GCF) of 62328 and 62335 is 7.

GCF(62328,62335) = 7

We will now calculate the prime factors of 62328 and 62335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62328 and 62335.

How to find the GCF of 62328 and 62335?

We will first find the prime factorization of 62328 and 62335. After we will calculate the factors of 62328 and 62335 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 62335

Prime factors of 62335 are 5, 7, 13, 137. Prime factorization of 62335 in exponential form is:

62335 = 5¹ × 7¹ × 13¹ × 137¹

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 62335

List of positive integer factors of 62335 that divides 62328 without a remainder.

1, 5, 7, 13, 35, 65, 91, 137, 455, 685, 959, 1781, 4795, 8905, 12467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62328 and 62335. The biggest common factor number is the GCF number.
So the greatest common factor 62328 and 62335 is 7.

Also check out the Least Common Multiple of 62328 and 62335