What is the Greatest Common Factor of 74524 and 74529?

Greatest common factor (GCF) of 74524 and 74529 is 1.

GCF(74524,74529) = 1

We will now calculate the prime factors of 74524 and 74529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74524 and 74529.

How to find the GCF of 74524 and 74529?

We will first find the prime factorization of 74524 and 74529. After we will calculate the factors of 74524 and 74529 and find the biggest common factor number .

Step-1: Prime Factorization of 74524

Prime factors of 74524 are 2, 31, 601. Prime factorization of 74524 in exponential form is:

74524 = 2² × 31¹ × 601¹

Step-2: Prime Factorization of 74529

Prime factors of 74529 are 3, 7, 13. Prime factorization of 74529 in exponential form is:

74529 = 3² × 7² × 13²

Step-3: Factors of 74524

List of positive integer factors of 74524 that divides 74524 without a remainder.

1, 2, 4, 31, 62, 124, 601, 1202, 2404, 18631, 37262

Step-4: Factors of 74529

List of positive integer factors of 74529 that divides 74524 without a remainder.

1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 169, 273, 441, 507, 637, 819, 1183, 1521, 1911, 3549, 5733, 8281, 10647, 24843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74524 and 74529. The biggest common factor number is the GCF number.
So the greatest common factor 74524 and 74529 is 1.

Also check out the Least Common Multiple of 74524 and 74529