What is the Greatest Common Factor of 73110 and 73120?

Greatest common factor (GCF) of 73110 and 73120 is 10.

GCF(73110,73120) = 10

We will now calculate the prime factors of 73110 and 73120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73110 and 73120.

How to find the GCF of 73110 and 73120?

We will first find the prime factorization of 73110 and 73120. After we will calculate the factors of 73110 and 73120 and find the biggest common factor number .

Step-1: Prime Factorization of 73110

Prime factors of 73110 are 2, 3, 5, 2437. Prime factorization of 73110 in exponential form is:

73110 = 2¹ × 3¹ × 5¹ × 2437¹

Step-2: Prime Factorization of 73120

Prime factors of 73120 are 2, 5, 457. Prime factorization of 73120 in exponential form is:

73120 = 2⁵ × 5¹ × 457¹

Step-3: Factors of 73110

List of positive integer factors of 73110 that divides 73110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2437, 4874, 7311, 12185, 14622, 24370, 36555

Step-4: Factors of 73120

List of positive integer factors of 73120 that divides 73110 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 457, 914, 1828, 2285, 3656, 4570, 7312, 9140, 14624, 18280, 36560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73110 and 73120. The biggest common factor number is the GCF number.
So the greatest common factor 73110 and 73120 is 10.

Also check out the Least Common Multiple of 73110 and 73120