What is the Greatest Common Factor of 74493 and 74503?

Greatest common factor (GCF) of 74493 and 74503 is 1.

GCF(74493,74503) = 1

We will now calculate the prime factors of 74493 and 74503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74493 and 74503.

How to find the GCF of 74493 and 74503?

We will first find the prime factorization of 74493 and 74503. After we will calculate the factors of 74493 and 74503 and find the biggest common factor number .

Step-1: Prime Factorization of 74493

Prime factors of 74493 are 3, 31, 89. Prime factorization of 74493 in exponential form is:

74493 = 3³ × 31¹ × 89¹

Step-2: Prime Factorization of 74503

Prime factors of 74503 are 11, 13, 521. Prime factorization of 74503 in exponential form is:

74503 = 11¹ × 13¹ × 521¹

Step-3: Factors of 74493

List of positive integer factors of 74493 that divides 74493 without a remainder.

1, 3, 9, 27, 31, 89, 93, 267, 279, 801, 837, 2403, 2759, 8277, 24831

Step-4: Factors of 74503

List of positive integer factors of 74503 that divides 74493 without a remainder.

1, 11, 13, 143, 521, 5731, 6773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74493 and 74503. The biggest common factor number is the GCF number.
So the greatest common factor 74493 and 74503 is 1.

Also check out the Least Common Multiple of 74493 and 74503