What is the Greatest Common Factor of 74704 and 74724?

Greatest common factor (GCF) of 74704 and 74724 is 4.

GCF(74704,74724) = 4

We will now calculate the prime factors of 74704 and 74724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74704 and 74724.

How to find the GCF of 74704 and 74724?

We will first find the prime factorization of 74704 and 74724. After we will calculate the factors of 74704 and 74724 and find the biggest common factor number .

Step-1: Prime Factorization of 74704

Prime factors of 74704 are 2, 7, 23, 29. Prime factorization of 74704 in exponential form is:

74704 = 2⁴ × 7¹ × 23¹ × 29¹

Step-2: 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-3: Factors of 74704

List of positive integer factors of 74704 that divides 74704 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 29, 46, 56, 58, 92, 112, 116, 161, 184, 203, 232, 322, 368, 406, 464, 644, 667, 812, 1288, 1334, 1624, 2576, 2668, 3248, 4669, 5336, 9338, 10672, 18676, 37352

Step-4: Factors of 74724

List of positive integer factors of 74724 that divides 74704 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74704 and 74724. The biggest common factor number is the GCF number.
So the greatest common factor 74704 and 74724 is 4.

Also check out the Least Common Multiple of 74704 and 74724