What is the Greatest Common Factor of 73134 and 73140?

Greatest common factor (GCF) of 73134 and 73140 is 6.

GCF(73134,73140) = 6

We will now calculate the prime factors of 73134 and 73140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73134 and 73140.

How to find the GCF of 73134 and 73140?

We will first find the prime factorization of 73134 and 73140. After we will calculate the factors of 73134 and 73140 and find the biggest common factor number .

Step-1: Prime Factorization of 73134

Prime factors of 73134 are 2, 3, 17, 239. Prime factorization of 73134 in exponential form is:

73134 = 2¹ × 3² × 17¹ × 239¹

Step-2: 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-3: Factors of 73134

List of positive integer factors of 73134 that divides 73134 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 239, 306, 478, 717, 1434, 2151, 4063, 4302, 8126, 12189, 24378, 36567

Step-4: Factors of 73140

List of positive integer factors of 73140 that divides 73134 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73134 and 73140. The biggest common factor number is the GCF number.
So the greatest common factor 73134 and 73140 is 6.

Also check out the Least Common Multiple of 73134 and 73140