What is the Greatest Common Factor of 74286 and 74299?

Greatest common factor (GCF) of 74286 and 74299 is 1.

GCF(74286,74299) = 1

We will now calculate the prime factors of 74286 and 74299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74286 and 74299.

How to find the GCF of 74286 and 74299?

We will first find the prime factorization of 74286 and 74299. After we will calculate the factors of 74286 and 74299 and find the biggest common factor number .

Step-1: Prime Factorization of 74286

Prime factors of 74286 are 2, 3, 4127. Prime factorization of 74286 in exponential form is:

74286 = 2¹ × 3² × 4127¹

Step-2: Prime Factorization of 74299

Prime factors of 74299 are 191, 389. Prime factorization of 74299 in exponential form is:

74299 = 191¹ × 389¹

Step-3: Factors of 74286

List of positive integer factors of 74286 that divides 74286 without a remainder.

1, 2, 3, 6, 9, 18, 4127, 8254, 12381, 24762, 37143

Step-4: Factors of 74299

List of positive integer factors of 74299 that divides 74286 without a remainder.

1, 191, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74286 and 74299. The biggest common factor number is the GCF number.
So the greatest common factor 74286 and 74299 is 1.

Also check out the Least Common Multiple of 74286 and 74299