What is the Greatest Common Factor of 42328 and 42348?

Greatest common factor (GCF) of 42328 and 42348 is 4.

GCF(42328,42348) = 4

We will now calculate the prime factors of 42328 and 42348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42328 and 42348.

How to find the GCF of 42328 and 42348?

We will first find the prime factorization of 42328 and 42348. After we will calculate the factors of 42328 and 42348 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42348

Prime factors of 42348 are 2, 3, 3529. Prime factorization of 42348 in exponential form is:

42348 = 2² × 3¹ × 3529¹

Step-3: Factors of 42328

List of positive integer factors of 42328 that divides 42328 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

Step-4: Factors of 42348

List of positive integer factors of 42348 that divides 42328 without a remainder.

1, 2, 3, 4, 6, 12, 3529, 7058, 10587, 14116, 21174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42328 and 42348. The biggest common factor number is the GCF number.
So the greatest common factor 42328 and 42348 is 4.

Also check out the Least Common Multiple of 42328 and 42348