What is the Greatest Common Factor of 72105 and 72113?

Greatest common factor (GCF) of 72105 and 72113 is 1.

GCF(72105,72113) = 1

We will now calculate the prime factors of 72105 and 72113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72105 and 72113.

How to find the GCF of 72105 and 72113?

We will first find the prime factorization of 72105 and 72113. After we will calculate the factors of 72105 and 72113 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 72113

Prime factors of 72113 are 37, 1949. Prime factorization of 72113 in exponential form is:

72113 = 37¹ × 1949¹

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 72113

List of positive integer factors of 72113 that divides 72105 without a remainder.

1, 37, 1949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72105 and 72113. The biggest common factor number is the GCF number.
So the greatest common factor 72105 and 72113 is 1.

Also check out the Least Common Multiple of 72105 and 72113