What is the Greatest Common Factor of 72633 and 72642?

Greatest common factor (GCF) of 72633 and 72642 is 3.

GCF(72633,72642) = 3

We will now calculate the prime factors of 72633 and 72642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72633 and 72642.

How to find the GCF of 72633 and 72642?

We will first find the prime factorization of 72633 and 72642. After we will calculate the factors of 72633 and 72642 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 72642

Prime factors of 72642 are 2, 3, 12107. Prime factorization of 72642 in exponential form is:

72642 = 2¹ × 3¹ × 12107¹

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 72642

List of positive integer factors of 72642 that divides 72633 without a remainder.

1, 2, 3, 6, 12107, 24214, 36321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72633 and 72642. The biggest common factor number is the GCF number.
So the greatest common factor 72633 and 72642 is 3.

Also check out the Least Common Multiple of 72633 and 72642