What is the Greatest Common Factor of 72633 and 72645?

Greatest common factor (GCF) of 72633 and 72645 is 3.

GCF(72633,72645) = 3

We will now calculate the prime factors of 72633 and 72645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72633 and 72645.

How to find the GCF of 72633 and 72645?

We will first find the prime factorization of 72633 and 72645. After we will calculate the factors of 72633 and 72645 and find the biggest common factor number .

Step-1: Prime Factorization of 72633

Prime factors of 72633 are 3, 11, 31, 71. Prime factorization of 72633 in exponential form is:

72633 = 3¹ × 11¹ × 31¹ × 71¹

Step-2: 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-3: Factors of 72633

List of positive integer factors of 72633 that divides 72633 without a remainder.

1, 3, 11, 31, 33, 71, 93, 213, 341, 781, 1023, 2201, 2343, 6603, 24211

Step-4: Factors of 72645

List of positive integer factors of 72645 that divides 72633 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72633 and 72645. The biggest common factor number is the GCF number.
So the greatest common factor 72633 and 72645 is 3.

Also check out the Least Common Multiple of 72633 and 72645