What is the Greatest Common Factor of 73134 and 73144?

Greatest common factor (GCF) of 73134 and 73144 is 2.

GCF(73134,73144) = 2

We will now calculate the prime factors of 73134 and 73144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73134 and 73144.

How to find the GCF of 73134 and 73144?

We will first find the prime factorization of 73134 and 73144. After we will calculate the factors of 73134 and 73144 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 73144

Prime factors of 73144 are 2, 41, 223. Prime factorization of 73144 in exponential form is:

73144 = 2³ × 41¹ × 223¹

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 73144

List of positive integer factors of 73144 that divides 73134 without a remainder.

1, 2, 4, 8, 41, 82, 164, 223, 328, 446, 892, 1784, 9143, 18286, 36572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73134 and 73144. The biggest common factor number is the GCF number.
So the greatest common factor 73134 and 73144 is 2.

Also check out the Least Common Multiple of 73134 and 73144