What is the Greatest Common Factor of 29712 and 29727?

Greatest common factor (GCF) of 29712 and 29727 is 3.

GCF(29712,29727) = 3

We will now calculate the prime factors of 29712 and 29727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29712 and 29727.

How to find the GCF of 29712 and 29727?

We will first find the prime factorization of 29712 and 29727. After we will calculate the factors of 29712 and 29727 and find the biggest common factor number .

Step-1: Prime Factorization of 29712

Prime factors of 29712 are 2, 3, 619. Prime factorization of 29712 in exponential form is:

29712 = 2⁴ × 3¹ × 619¹

Step-2: Prime Factorization of 29727

Prime factors of 29727 are 3, 367. Prime factorization of 29727 in exponential form is:

29727 = 3⁴ × 367¹

Step-3: Factors of 29712

List of positive integer factors of 29712 that divides 29712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 619, 1238, 1857, 2476, 3714, 4952, 7428, 9904, 14856

Step-4: Factors of 29727

List of positive integer factors of 29727 that divides 29712 without a remainder.

1, 3, 9, 27, 81, 367, 1101, 3303, 9909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29712 and 29727. The biggest common factor number is the GCF number.
So the greatest common factor 29712 and 29727 is 3.

Also check out the Least Common Multiple of 29712 and 29727