What is the Greatest Common Factor of 72466 and 72485?

Greatest common factor (GCF) of 72466 and 72485 is 19.

GCF(72466,72485) = 19

We will now calculate the prime factors of 72466 and 72485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72466 and 72485.

How to find the GCF of 72466 and 72485?

We will first find the prime factorization of 72466 and 72485. After we will calculate the factors of 72466 and 72485 and find the biggest common factor number .

Step-1: Prime Factorization of 72466

Prime factors of 72466 are 2, 19, 1907. Prime factorization of 72466 in exponential form is:

72466 = 2¹ × 19¹ × 1907¹

Step-2: Prime Factorization of 72485

Prime factors of 72485 are 5, 7, 19, 109. Prime factorization of 72485 in exponential form is:

72485 = 5¹ × 7¹ × 19¹ × 109¹

Step-3: Factors of 72466

List of positive integer factors of 72466 that divides 72466 without a remainder.

1, 2, 19, 38, 1907, 3814, 36233

Step-4: Factors of 72485

List of positive integer factors of 72485 that divides 72466 without a remainder.

1, 5, 7, 19, 35, 95, 109, 133, 545, 665, 763, 2071, 3815, 10355, 14497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72466 and 72485. The biggest common factor number is the GCF number.
So the greatest common factor 72466 and 72485 is 19.

Also check out the Least Common Multiple of 72466 and 72485