What is the Greatest Common Factor of 73146 and 73160?

Greatest common factor (GCF) of 73146 and 73160 is 2.

GCF(73146,73160) = 2

We will now calculate the prime factors of 73146 and 73160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73146 and 73160.

How to find the GCF of 73146 and 73160?

We will first find the prime factorization of 73146 and 73160. After we will calculate the factors of 73146 and 73160 and find the biggest common factor number .

Step-1: Prime Factorization of 73146

Prime factors of 73146 are 2, 3, 73, 167. Prime factorization of 73146 in exponential form is:

73146 = 2¹ × 3¹ × 73¹ × 167¹

Step-2: Prime Factorization of 73160

Prime factors of 73160 are 2, 5, 31, 59. Prime factorization of 73160 in exponential form is:

73160 = 2³ × 5¹ × 31¹ × 59¹

Step-3: Factors of 73146

List of positive integer factors of 73146 that divides 73146 without a remainder.

1, 2, 3, 6, 73, 146, 167, 219, 334, 438, 501, 1002, 12191, 24382, 36573

Step-4: Factors of 73160

List of positive integer factors of 73160 that divides 73146 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 59, 62, 118, 124, 155, 236, 248, 295, 310, 472, 590, 620, 1180, 1240, 1829, 2360, 3658, 7316, 9145, 14632, 18290, 36580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73146 and 73160. The biggest common factor number is the GCF number.
So the greatest common factor 73146 and 73160 is 2.

Also check out the Least Common Multiple of 73146 and 73160