What is the Greatest Common Factor of 74148 and 74159?

Greatest common factor (GCF) of 74148 and 74159 is 1.

GCF(74148,74159) = 1

We will now calculate the prime factors of 74148 and 74159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74148 and 74159.

How to find the GCF of 74148 and 74159?

We will first find the prime factorization of 74148 and 74159. After we will calculate the factors of 74148 and 74159 and find the biggest common factor number .

Step-1: Prime Factorization of 74148

Prime factors of 74148 are 2, 3, 37, 167. Prime factorization of 74148 in exponential form is:

74148 = 2² × 3¹ × 37¹ × 167¹

Step-2: Prime Factorization of 74159

Prime factors of 74159 are 74159. Prime factorization of 74159 in exponential form is:

74159 = 74159¹

Step-3: Factors of 74148

List of positive integer factors of 74148 that divides 74148 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 167, 222, 334, 444, 501, 668, 1002, 2004, 6179, 12358, 18537, 24716, 37074

Step-4: Factors of 74159

List of positive integer factors of 74159 that divides 74148 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74148 and 74159. The biggest common factor number is the GCF number.
So the greatest common factor 74148 and 74159 is 1.

Also check out the Least Common Multiple of 74148 and 74159