What is the Greatest Common Factor of 73714 and 73734?

Greatest common factor (GCF) of 73714 and 73734 is 2.

GCF(73714,73734) = 2

We will now calculate the prime factors of 73714 and 73734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73714 and 73734.

How to find the GCF of 73714 and 73734?

We will first find the prime factorization of 73714 and 73734. After we will calculate the factors of 73714 and 73734 and find the biggest common factor number .

Step-1: Prime Factorization of 73714

Prime factors of 73714 are 2, 36857. Prime factorization of 73714 in exponential form is:

73714 = 2¹ × 36857¹

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 73714

List of positive integer factors of 73714 that divides 73714 without a remainder.

1, 2, 36857

Step-4: Factors of 73734

List of positive integer factors of 73734 that divides 73714 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73714 and 73734. The biggest common factor number is the GCF number.
So the greatest common factor 73714 and 73734 is 2.

Also check out the Least Common Multiple of 73714 and 73734