What is the Greatest Common Factor of 74724 and 74742?

Greatest common factor (GCF) of 74724 and 74742 is 6.

GCF(74724,74742) = 6

We will now calculate the prime factors of 74724 and 74742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74724 and 74742.

How to find the GCF of 74724 and 74742?

We will first find the prime factorization of 74724 and 74742. After we will calculate the factors of 74724 and 74742 and find the biggest common factor number .

Step-1: Prime Factorization of 74724

Prime factors of 74724 are 2, 3, 13, 479. Prime factorization of 74724 in exponential form is:

74724 = 2² × 3¹ × 13¹ × 479¹

Step-2: Prime Factorization of 74742

Prime factors of 74742 are 2, 3, 12457. Prime factorization of 74742 in exponential form is:

74742 = 2¹ × 3¹ × 12457¹

Step-3: Factors of 74724

List of positive integer factors of 74724 that divides 74724 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 479, 958, 1437, 1916, 2874, 5748, 6227, 12454, 18681, 24908, 37362

Step-4: Factors of 74742

List of positive integer factors of 74742 that divides 74724 without a remainder.

1, 2, 3, 6, 12457, 24914, 37371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74724 and 74742. The biggest common factor number is the GCF number.
So the greatest common factor 74724 and 74742 is 6.

Also check out the Least Common Multiple of 74724 and 74742