What is the Greatest Common Factor of 74089 and 74106?

Greatest common factor (GCF) of 74089 and 74106 is 1.

GCF(74089,74106) = 1

We will now calculate the prime factors of 74089 and 74106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74089 and 74106.

How to find the GCF of 74089 and 74106?

We will first find the prime factorization of 74089 and 74106. After we will calculate the factors of 74089 and 74106 and find the biggest common factor number .

Step-1: Prime Factorization of 74089

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

74089 = 43¹ × 1723¹

Step-2: Prime Factorization of 74106

Prime factors of 74106 are 2, 3, 23, 179. Prime factorization of 74106 in exponential form is:

74106 = 2¹ × 3² × 23¹ × 179¹

Step-3: Factors of 74089

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

1, 43, 1723

Step-4: Factors of 74106

List of positive integer factors of 74106 that divides 74089 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 179, 207, 358, 414, 537, 1074, 1611, 3222, 4117, 8234, 12351, 24702, 37053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74089 and 74106. The biggest common factor number is the GCF number.
So the greatest common factor 74089 and 74106 is 1.

Also check out the Least Common Multiple of 74089 and 74106