What is the Greatest Common Factor of 42367 and 42380?

Greatest common factor (GCF) of 42367 and 42380 is 13.

GCF(42367,42380) = 13

We will now calculate the prime factors of 42367 and 42380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42367 and 42380.

How to find the GCF of 42367 and 42380?

We will first find the prime factorization of 42367 and 42380. After we will calculate the factors of 42367 and 42380 and find the biggest common factor number .

Step-1: Prime Factorization of 42367

Prime factors of 42367 are 13, 3259. Prime factorization of 42367 in exponential form is:

42367 = 13¹ × 3259¹

Step-2: Prime Factorization of 42380

Prime factors of 42380 are 2, 5, 13, 163. Prime factorization of 42380 in exponential form is:

42380 = 2² × 5¹ × 13¹ × 163¹

Step-3: Factors of 42367

List of positive integer factors of 42367 that divides 42367 without a remainder.

1, 13, 3259

Step-4: Factors of 42380

List of positive integer factors of 42380 that divides 42367 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 163, 260, 326, 652, 815, 1630, 2119, 3260, 4238, 8476, 10595, 21190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42367 and 42380. The biggest common factor number is the GCF number.
So the greatest common factor 42367 and 42380 is 13.

Also check out the Least Common Multiple of 42367 and 42380