What is the Greatest Common Factor of 74529 and 74541?

Greatest common factor (GCF) of 74529 and 74541 is 3.

GCF(74529,74541) = 3

We will now calculate the prime factors of 74529 and 74541, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74529 and 74541.

How to find the GCF of 74529 and 74541?

We will first find the prime factorization of 74529 and 74541. After we will calculate the factors of 74529 and 74541 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74541

Prime factors of 74541 are 3, 24847. Prime factorization of 74541 in exponential form is:

74541 = 3¹ × 24847¹

Step-3: Factors of 74529

List of positive integer factors of 74529 that divides 74529 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

Step-4: Factors of 74541

List of positive integer factors of 74541 that divides 74529 without a remainder.

1, 3, 24847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74529 and 74541. The biggest common factor number is the GCF number.
So the greatest common factor 74529 and 74541 is 3.

Also check out the Least Common Multiple of 74529 and 74541