What is the Greatest Common Factor of 74586 and 74599?

Greatest common factor (GCF) of 74586 and 74599 is 1.

GCF(74586,74599) = 1

We will now calculate the prime factors of 74586 and 74599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74586 and 74599.

How to find the GCF of 74586 and 74599?

We will first find the prime factorization of 74586 and 74599. After we will calculate the factors of 74586 and 74599 and find the biggest common factor number .

Step-1: Prime Factorization of 74586

Prime factors of 74586 are 2, 3, 31, 401. Prime factorization of 74586 in exponential form is:

74586 = 2¹ × 3¹ × 31¹ × 401¹

Step-2: Prime Factorization of 74599

Prime factors of 74599 are 7, 10657. Prime factorization of 74599 in exponential form is:

74599 = 7¹ × 10657¹

Step-3: Factors of 74586

List of positive integer factors of 74586 that divides 74586 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 401, 802, 1203, 2406, 12431, 24862, 37293

Step-4: Factors of 74599

List of positive integer factors of 74599 that divides 74586 without a remainder.

1, 7, 10657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74586 and 74599. The biggest common factor number is the GCF number.
So the greatest common factor 74586 and 74599 is 1.

Also check out the Least Common Multiple of 74586 and 74599