What is the Greatest Common Factor of 73729 and 73734?

Greatest common factor (GCF) of 73729 and 73734 is 1.

GCF(73729,73734) = 1

We will now calculate the prime factors of 73729 and 73734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73729 and 73734.

How to find the GCF of 73729 and 73734?

We will first find the prime factorization of 73729 and 73734. After we will calculate the factors of 73729 and 73734 and find the biggest common factor number .

Step-1: Prime Factorization of 73729

Prime factors of 73729 are 17, 4337. Prime factorization of 73729 in exponential form is:

73729 = 17¹ × 4337¹

Step-2: Prime Factorization of 73734

Prime factors of 73734 are 2, 3, 12289. Prime factorization of 73734 in exponential form is:

73734 = 2¹ × 3¹ × 12289¹

Step-3: Factors of 73729

List of positive integer factors of 73729 that divides 73729 without a remainder.

1, 17, 4337

Step-4: Factors of 73734

List of positive integer factors of 73734 that divides 73729 without a remainder.

1, 2, 3, 6, 12289, 24578, 36867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73729 and 73734. The biggest common factor number is the GCF number.
So the greatest common factor 73729 and 73734 is 1.

Also check out the Least Common Multiple of 73729 and 73734