What is the Greatest Common Factor of 74085 and 74089?

Greatest common factor (GCF) of 74085 and 74089 is 1.

GCF(74085,74089) = 1

We will now calculate the prime factors of 74085 and 74089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74085 and 74089.

How to find the GCF of 74085 and 74089?

We will first find the prime factorization of 74085 and 74089. After we will calculate the factors of 74085 and 74089 and find the biggest common factor number .

Step-1: Prime Factorization of 74085

Prime factors of 74085 are 3, 5, 11, 449. Prime factorization of 74085 in exponential form is:

74085 = 3¹ × 5¹ × 11¹ × 449¹

Step-2: Prime Factorization of 74089

Prime factors of 74089 are 43, 1723. Prime factorization of 74089 in exponential form is:

74089 = 43¹ × 1723¹

Step-3: Factors of 74085

List of positive integer factors of 74085 that divides 74085 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 449, 1347, 2245, 4939, 6735, 14817, 24695

Step-4: Factors of 74089

List of positive integer factors of 74089 that divides 74085 without a remainder.

1, 43, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74085 and 74089. The biggest common factor number is the GCF number.
So the greatest common factor 74085 and 74089 is 1.

Also check out the Least Common Multiple of 74085 and 74089