What is the Greatest Common Factor of 72174 and 72179?

Greatest common factor (GCF) of 72174 and 72179 is 1.

GCF(72174,72179) = 1

We will now calculate the prime factors of 72174 and 72179, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72174 and 72179.

How to find the GCF of 72174 and 72179?

We will first find the prime factorization of 72174 and 72179. After we will calculate the factors of 72174 and 72179 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 72179

Prime factors of 72179 are 89, 811. Prime factorization of 72179 in exponential form is:

72179 = 89¹ × 811¹

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 72179

List of positive integer factors of 72179 that divides 72174 without a remainder.

1, 89, 811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72174 and 72179. The biggest common factor number is the GCF number.
So the greatest common factor 72174 and 72179 is 1.

Also check out the Least Common Multiple of 72174 and 72179