What is the Greatest Common Factor of 4716 and 4734?

Greatest common factor (GCF) of 4716 and 4734 is 18.

GCF(4716,4734) = 18

We will now calculate the prime factors of 4716 and 4734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4716 and 4734.

How to find the GCF of 4716 and 4734?

We will first find the prime factorization of 4716 and 4734. After we will calculate the factors of 4716 and 4734 and find the biggest common factor number .

Step-1: Prime Factorization of 4716

Prime factors of 4716 are 2, 3, 131. Prime factorization of 4716 in exponential form is:

4716 = 2² × 3² × 131¹

Step-2: Prime Factorization of 4734

Prime factors of 4734 are 2, 3, 263. Prime factorization of 4734 in exponential form is:

4734 = 2¹ × 3² × 263¹

Step-3: Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358

Step-4: Factors of 4734

List of positive integer factors of 4734 that divides 4716 without a remainder.

1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4716 and 4734. The biggest common factor number is the GCF number.
So the greatest common factor 4716 and 4734 is 18.

Also check out the Least Common Multiple of 4716 and 4734