What is the Greatest Common Factor of 42381 and 42396?

Greatest common factor (GCF) of 42381 and 42396 is 3.

GCF(42381,42396) = 3

We will now calculate the prime factors of 42381 and 42396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42381 and 42396.

How to find the GCF of 42381 and 42396?

We will first find the prime factorization of 42381 and 42396. After we will calculate the factors of 42381 and 42396 and find the biggest common factor number .

Step-1: Prime Factorization of 42381

Prime factors of 42381 are 3, 17, 277. Prime factorization of 42381 in exponential form is:

42381 = 3² × 17¹ × 277¹

Step-2: Prime Factorization of 42396

Prime factors of 42396 are 2, 3, 3533. Prime factorization of 42396 in exponential form is:

42396 = 2² × 3¹ × 3533¹

Step-3: Factors of 42381

List of positive integer factors of 42381 that divides 42381 without a remainder.

1, 3, 9, 17, 51, 153, 277, 831, 2493, 4709, 14127

Step-4: Factors of 42396

List of positive integer factors of 42396 that divides 42381 without a remainder.

1, 2, 3, 4, 6, 12, 3533, 7066, 10599, 14132, 21198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42381 and 42396. The biggest common factor number is the GCF number.
So the greatest common factor 42381 and 42396 is 3.

Also check out the Least Common Multiple of 42381 and 42396