What is the Greatest Common Factor of 62328 and 62342?

Greatest common factor (GCF) of 62328 and 62342 is 14.

GCF(62328,62342) = 14

We will now calculate the prime factors of 62328 and 62342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62328 and 62342.

How to find the GCF of 62328 and 62342?

We will first find the prime factorization of 62328 and 62342. After we will calculate the factors of 62328 and 62342 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 62342

Prime factors of 62342 are 2, 7, 61, 73. Prime factorization of 62342 in exponential form is:

62342 = 2¹ × 7¹ × 61¹ × 73¹

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 62342

List of positive integer factors of 62342 that divides 62328 without a remainder.

1, 2, 7, 14, 61, 73, 122, 146, 427, 511, 854, 1022, 4453, 8906, 31171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62328 and 62342. The biggest common factor number is the GCF number.
So the greatest common factor 62328 and 62342 is 14.

Also check out the Least Common Multiple of 62328 and 62342