What is the Greatest Common Factor of 72174 and 72182?

Greatest common factor (GCF) of 72174 and 72182 is 2.

GCF(72174,72182) = 2

We will now calculate the prime factors of 72174 and 72182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72174 and 72182.

How to find the GCF of 72174 and 72182?

We will first find the prime factorization of 72174 and 72182. After we will calculate the factors of 72174 and 72182 and find the biggest common factor number .

Step-1: Prime Factorization of 72174

Prime factors of 72174 are 2, 3, 23, 523. Prime factorization of 72174 in exponential form is:

72174 = 2¹ × 3¹ × 23¹ × 523¹

Step-2: Prime Factorization of 72182

Prime factors of 72182 are 2, 11, 17, 193. Prime factorization of 72182 in exponential form is:

72182 = 2¹ × 11¹ × 17¹ × 193¹

Step-3: Factors of 72174

List of positive integer factors of 72174 that divides 72174 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 523, 1046, 1569, 3138, 12029, 24058, 36087

Step-4: Factors of 72182

List of positive integer factors of 72182 that divides 72174 without a remainder.

1, 2, 11, 17, 22, 34, 187, 193, 374, 386, 2123, 3281, 4246, 6562, 36091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72174 and 72182. The biggest common factor number is the GCF number.
So the greatest common factor 72174 and 72182 is 2.

Also check out the Least Common Multiple of 72174 and 72182