What is the Greatest Common Factor of 42188 and 42192?

Greatest common factor (GCF) of 42188 and 42192 is 4.

GCF(42188,42192) = 4

We will now calculate the prime factors of 42188 and 42192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42188 and 42192.

How to find the GCF of 42188 and 42192?

We will first find the prime factorization of 42188 and 42192. After we will calculate the factors of 42188 and 42192 and find the biggest common factor number .

Step-1: Prime Factorization of 42188

Prime factors of 42188 are 2, 53, 199. Prime factorization of 42188 in exponential form is:

42188 = 2² × 53¹ × 199¹

Step-2: Prime Factorization of 42192

Prime factors of 42192 are 2, 3, 293. Prime factorization of 42192 in exponential form is:

42192 = 2⁴ × 3² × 293¹

Step-3: Factors of 42188

List of positive integer factors of 42188 that divides 42188 without a remainder.

1, 2, 4, 53, 106, 199, 212, 398, 796, 10547, 21094

Step-4: Factors of 42192

List of positive integer factors of 42192 that divides 42188 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 293, 586, 879, 1172, 1758, 2344, 2637, 3516, 4688, 5274, 7032, 10548, 14064, 21096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42188 and 42192. The biggest common factor number is the GCF number.
So the greatest common factor 42188 and 42192 is 4.

Also check out the Least Common Multiple of 42188 and 42192