What is the Greatest Common Factor of 74854 and 74868?

Greatest common factor (GCF) of 74854 and 74868 is 2.

GCF(74854,74868) = 2

We will now calculate the prime factors of 74854 and 74868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74854 and 74868.

How to find the GCF of 74854 and 74868?

We will first find the prime factorization of 74854 and 74868. After we will calculate the factors of 74854 and 74868 and find the biggest common factor number .

Step-1: Prime Factorization of 74854

Prime factors of 74854 are 2, 13, 2879. Prime factorization of 74854 in exponential form is:

74854 = 2¹ × 13¹ × 2879¹

Step-2: Prime Factorization of 74868

Prime factors of 74868 are 2, 3, 17, 367. Prime factorization of 74868 in exponential form is:

74868 = 2² × 3¹ × 17¹ × 367¹

Step-3: Factors of 74854

List of positive integer factors of 74854 that divides 74854 without a remainder.

1, 2, 13, 26, 2879, 5758, 37427

Step-4: Factors of 74868

List of positive integer factors of 74868 that divides 74854 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 367, 734, 1101, 1468, 2202, 4404, 6239, 12478, 18717, 24956, 37434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74854 and 74868. The biggest common factor number is the GCF number.
So the greatest common factor 74854 and 74868 is 2.

Also check out the Least Common Multiple of 74854 and 74868