What is the Greatest Common Factor of 73734 and 73746?

Greatest common factor (GCF) of 73734 and 73746 is 6.

GCF(73734,73746) = 6

We will now calculate the prime factors of 73734 and 73746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73734 and 73746.

How to find the GCF of 73734 and 73746?

We will first find the prime factorization of 73734 and 73746. After we will calculate the factors of 73734 and 73746 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73746

Prime factors of 73746 are 2, 3, 17, 241. Prime factorization of 73746 in exponential form is:

73746 = 2¹ × 3² × 17¹ × 241¹

Step-3: Factors of 73734

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

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

Step-4: Factors of 73746

List of positive integer factors of 73746 that divides 73734 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 241, 306, 482, 723, 1446, 2169, 4097, 4338, 8194, 12291, 24582, 36873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73734 and 73746. The biggest common factor number is the GCF number.
So the greatest common factor 73734 and 73746 is 6.

Also check out the Least Common Multiple of 73734 and 73746