What is the Greatest Common Factor of 62328 and 62332?

Greatest common factor (GCF) of 62328 and 62332 is 4.

GCF(62328,62332) = 4

We will now calculate the prime factors of 62328 and 62332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62328 and 62332.

How to find the GCF of 62328 and 62332?

We will first find the prime factorization of 62328 and 62332. After we will calculate the factors of 62328 and 62332 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 62332

Prime factors of 62332 are 2, 15583. Prime factorization of 62332 in exponential form is:

62332 = 2² × 15583¹

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 62332

List of positive integer factors of 62332 that divides 62328 without a remainder.

1, 2, 4, 15583, 31166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62328 and 62332. The biggest common factor number is the GCF number.
So the greatest common factor 62328 and 62332 is 4.

Also check out the Least Common Multiple of 62328 and 62332