What is the Greatest Common Factor of 40749 and 40764?

Greatest common factor (GCF) of 40749 and 40764 is 3.

GCF(40749,40764) = 3

We will now calculate the prime factors of 40749 and 40764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40749 and 40764.

How to find the GCF of 40749 and 40764?

We will first find the prime factorization of 40749 and 40764. After we will calculate the factors of 40749 and 40764 and find the biggest common factor number .

Step-1: Prime Factorization of 40749

Prime factors of 40749 are 3, 17, 47. Prime factorization of 40749 in exponential form is:

40749 = 3¹ × 17² × 47¹

Step-2: Prime Factorization of 40764

Prime factors of 40764 are 2, 3, 43, 79. Prime factorization of 40764 in exponential form is:

40764 = 2² × 3¹ × 43¹ × 79¹

Step-3: Factors of 40749

List of positive integer factors of 40749 that divides 40749 without a remainder.

1, 3, 17, 47, 51, 141, 289, 799, 867, 2397, 13583

Step-4: Factors of 40764

List of positive integer factors of 40764 that divides 40749 without a remainder.

1, 2, 3, 4, 6, 12, 43, 79, 86, 129, 158, 172, 237, 258, 316, 474, 516, 948, 3397, 6794, 10191, 13588, 20382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40749 and 40764. The biggest common factor number is the GCF number.
So the greatest common factor 40749 and 40764 is 3.

Also check out the Least Common Multiple of 40749 and 40764