What is the Greatest Common Factor of 73174 and 73180?

Greatest common factor (GCF) of 73174 and 73180 is 2.

GCF(73174,73180) = 2

We will now calculate the prime factors of 73174 and 73180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73174 and 73180.

How to find the GCF of 73174 and 73180?

We will first find the prime factorization of 73174 and 73180. After we will calculate the factors of 73174 and 73180 and find the biggest common factor number .

Step-1: Prime Factorization of 73174

Prime factors of 73174 are 2, 36587. Prime factorization of 73174 in exponential form is:

73174 = 2¹ × 36587¹

Step-2: Prime Factorization of 73180

Prime factors of 73180 are 2, 5, 3659. Prime factorization of 73180 in exponential form is:

73180 = 2² × 5¹ × 3659¹

Step-3: Factors of 73174

List of positive integer factors of 73174 that divides 73174 without a remainder.

1, 2, 36587

Step-4: Factors of 73180

List of positive integer factors of 73180 that divides 73174 without a remainder.

1, 2, 4, 5, 10, 20, 3659, 7318, 14636, 18295, 36590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73174 and 73180. The biggest common factor number is the GCF number.
So the greatest common factor 73174 and 73180 is 2.

Also check out the Least Common Multiple of 73174 and 73180