What is the Greatest Common Factor of 73134 and 73142?

Greatest common factor (GCF) of 73134 and 73142 is 2.

GCF(73134,73142) = 2

We will now calculate the prime factors of 73134 and 73142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73134 and 73142.

How to find the GCF of 73134 and 73142?

We will first find the prime factorization of 73134 and 73142. After we will calculate the factors of 73134 and 73142 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 73142

Prime factors of 73142 are 2, 36571. Prime factorization of 73142 in exponential form is:

73142 = 2¹ × 36571¹

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 73142

List of positive integer factors of 73142 that divides 73134 without a remainder.

1, 2, 36571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73134 and 73142. The biggest common factor number is the GCF number.
So the greatest common factor 73134 and 73142 is 2.

Also check out the Least Common Multiple of 73134 and 73142