What is the Greatest Common Factor of 74516 and 74529?

Greatest common factor (GCF) of 74516 and 74529 is 13.

GCF(74516,74529) = 13

We will now calculate the prime factors of 74516 and 74529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74516 and 74529.

How to find the GCF of 74516 and 74529?

We will first find the prime factorization of 74516 and 74529. After we will calculate the factors of 74516 and 74529 and find the biggest common factor number .

Step-1: Prime Factorization of 74516

Prime factors of 74516 are 2, 13, 1433. Prime factorization of 74516 in exponential form is:

74516 = 2² × 13¹ × 1433¹

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 74516

List of positive integer factors of 74516 that divides 74516 without a remainder.

1, 2, 4, 13, 26, 52, 1433, 2866, 5732, 18629, 37258

Step-4: Factors of 74529

List of positive integer factors of 74529 that divides 74516 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 74516 and 74529. The biggest common factor number is the GCF number.
So the greatest common factor 74516 and 74529 is 13.

Also check out the Least Common Multiple of 74516 and 74529