What is the Greatest Common Factor of 42320 and 42328?

Greatest common factor (GCF) of 42320 and 42328 is 8.

GCF(42320,42328) = 8

We will now calculate the prime factors of 42320 and 42328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42320 and 42328.

How to find the GCF of 42320 and 42328?

We will first find the prime factorization of 42320 and 42328. After we will calculate the factors of 42320 and 42328 and find the biggest common factor number .

Step-1: Prime Factorization of 42320

Prime factors of 42320 are 2, 5, 23. Prime factorization of 42320 in exponential form is:

42320 = 2⁴ × 5¹ × 23²

Step-2: Prime Factorization of 42328

Prime factors of 42328 are 2, 11, 13, 37. Prime factorization of 42328 in exponential form is:

42328 = 2³ × 11¹ × 13¹ × 37¹

Step-3: Factors of 42320

List of positive integer factors of 42320 that divides 42320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 529, 920, 1058, 1840, 2116, 2645, 4232, 5290, 8464, 10580, 21160

Step-4: Factors of 42328

List of positive integer factors of 42328 that divides 42320 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 37, 44, 52, 74, 88, 104, 143, 148, 286, 296, 407, 481, 572, 814, 962, 1144, 1628, 1924, 3256, 3848, 5291, 10582, 21164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42320 and 42328. The biggest common factor number is the GCF number.
So the greatest common factor 42320 and 42328 is 8.

Also check out the Least Common Multiple of 42320 and 42328