What is the Greatest Common Factor of 72470 and 72479?

Greatest common factor (GCF) of 72470 and 72479 is 1.

GCF(72470,72479) = 1

We will now calculate the prime factors of 72470 and 72479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72470 and 72479.

How to find the GCF of 72470 and 72479?

We will first find the prime factorization of 72470 and 72479. After we will calculate the factors of 72470 and 72479 and find the biggest common factor number .

Step-1: Prime Factorization of 72470

Prime factors of 72470 are 2, 5, 7247. Prime factorization of 72470 in exponential form is:

72470 = 2¹ × 5¹ × 7247¹

Step-2: Prime Factorization of 72479

Prime factors of 72479 are 11, 599. Prime factorization of 72479 in exponential form is:

72479 = 11² × 599¹

Step-3: Factors of 72470

List of positive integer factors of 72470 that divides 72470 without a remainder.

1, 2, 5, 10, 7247, 14494, 36235

Step-4: Factors of 72479

List of positive integer factors of 72479 that divides 72470 without a remainder.

1, 11, 121, 599, 6589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72470 and 72479. The biggest common factor number is the GCF number.
So the greatest common factor 72470 and 72479 is 1.

Also check out the Least Common Multiple of 72470 and 72479