What is the Greatest Common Factor of 72645 and 72663?

Greatest common factor (GCF) of 72645 and 72663 is 3.

GCF(72645,72663) = 3

We will now calculate the prime factors of 72645 and 72663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72645 and 72663.

How to find the GCF of 72645 and 72663?

We will first find the prime factorization of 72645 and 72663. After we will calculate the factors of 72645 and 72663 and find the biggest common factor number .

Step-1: Prime Factorization of 72645

Prime factors of 72645 are 3, 5, 29, 167. Prime factorization of 72645 in exponential form is:

72645 = 3¹ × 5¹ × 29¹ × 167¹

Step-2: Prime Factorization of 72663

Prime factors of 72663 are 3, 53, 457. Prime factorization of 72663 in exponential form is:

72663 = 3¹ × 53¹ × 457¹

Step-3: Factors of 72645

List of positive integer factors of 72645 that divides 72645 without a remainder.

1, 3, 5, 15, 29, 87, 145, 167, 435, 501, 835, 2505, 4843, 14529, 24215

Step-4: Factors of 72663

List of positive integer factors of 72663 that divides 72645 without a remainder.

1, 3, 53, 159, 457, 1371, 24221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72645 and 72663. The biggest common factor number is the GCF number.
So the greatest common factor 72645 and 72663 is 3.

Also check out the Least Common Multiple of 72645 and 72663