What is the Greatest Common Factor of 72105 and 72116?

Greatest common factor (GCF) of 72105 and 72116 is 11.

GCF(72105,72116) = 11

We will now calculate the prime factors of 72105 and 72116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72105 and 72116.

How to find the GCF of 72105 and 72116?

We will first find the prime factorization of 72105 and 72116. After we will calculate the factors of 72105 and 72116 and find the biggest common factor number .

Step-1: Prime Factorization of 72105

Prime factors of 72105 are 3, 5, 11, 19, 23. Prime factorization of 72105 in exponential form is:

72105 = 3¹ × 5¹ × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 72116

Prime factors of 72116 are 2, 11, 149. Prime factorization of 72116 in exponential form is:

72116 = 2² × 11² × 149¹

Step-3: Factors of 72105

List of positive integer factors of 72105 that divides 72105 without a remainder.

1, 3, 5, 11, 15, 19, 23, 33, 55, 57, 69, 95, 115, 165, 209, 253, 285, 345, 437, 627, 759, 1045, 1265, 1311, 2185, 3135, 3795, 4807, 6555, 14421, 24035

Step-4: Factors of 72116

List of positive integer factors of 72116 that divides 72105 without a remainder.

1, 2, 4, 11, 22, 44, 121, 149, 242, 298, 484, 596, 1639, 3278, 6556, 18029, 36058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72105 and 72116. The biggest common factor number is the GCF number.
So the greatest common factor 72105 and 72116 is 11.

Also check out the Least Common Multiple of 72105 and 72116