What is the Greatest Common Factor of 73130 and 73134?

Greatest common factor (GCF) of 73130 and 73134 is 2.

GCF(73130,73134) = 2

We will now calculate the prime factors of 73130 and 73134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73130 and 73134.

How to find the GCF of 73130 and 73134?

We will first find the prime factorization of 73130 and 73134. After we will calculate the factors of 73130 and 73134 and find the biggest common factor number .

Step-1: Prime Factorization of 73130

Prime factors of 73130 are 2, 5, 71, 103. Prime factorization of 73130 in exponential form is:

73130 = 2¹ × 5¹ × 71¹ × 103¹

Step-2: 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-3: Factors of 73130

List of positive integer factors of 73130 that divides 73130 without a remainder.

1, 2, 5, 10, 71, 103, 142, 206, 355, 515, 710, 1030, 7313, 14626, 36565

Step-4: Factors of 73134

List of positive integer factors of 73134 that divides 73130 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73130 and 73134. The biggest common factor number is the GCF number.
So the greatest common factor 73130 and 73134 is 2.

Also check out the Least Common Multiple of 73130 and 73134