What is the Greatest Common Factor of 74586 and 74594?

Greatest common factor (GCF) of 74586 and 74594 is 2.

GCF(74586,74594) = 2

We will now calculate the prime factors of 74586 and 74594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74586 and 74594.

How to find the GCF of 74586 and 74594?

We will first find the prime factorization of 74586 and 74594. After we will calculate the factors of 74586 and 74594 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 74594

Prime factors of 74594 are 2, 13, 19, 151. Prime factorization of 74594 in exponential form is:

74594 = 2¹ × 13¹ × 19¹ × 151¹

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 74594

List of positive integer factors of 74594 that divides 74586 without a remainder.

1, 2, 13, 19, 26, 38, 151, 247, 302, 494, 1963, 2869, 3926, 5738, 37297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74586 and 74594. The biggest common factor number is the GCF number.
So the greatest common factor 74586 and 74594 is 2.

Also check out the Least Common Multiple of 74586 and 74594