What is the Greatest Common Factor of 73140 and 73160?

Greatest common factor (GCF) of 73140 and 73160 is 20.

GCF(73140,73160) = 20

We will now calculate the prime factors of 73140 and 73160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73140 and 73160.

How to find the GCF of 73140 and 73160?

We will first find the prime factorization of 73140 and 73160. After we will calculate the factors of 73140 and 73160 and find the biggest common factor number .

Step-1: Prime Factorization of 73140

Prime factors of 73140 are 2, 3, 5, 23, 53. Prime factorization of 73140 in exponential form is:

73140 = 2² × 3¹ × 5¹ × 23¹ × 53¹

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 73140

List of positive integer factors of 73140 that divides 73140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 53, 60, 69, 92, 106, 115, 138, 159, 212, 230, 265, 276, 318, 345, 460, 530, 636, 690, 795, 1060, 1219, 1380, 1590, 2438, 3180, 3657, 4876, 6095, 7314, 12190, 14628, 18285, 24380, 36570

Step-4: Factors of 73160

List of positive integer factors of 73160 that divides 73140 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 73140 and 73160. The biggest common factor number is the GCF number.
So the greatest common factor 73140 and 73160 is 20.

Also check out the Least Common Multiple of 73140 and 73160