What is the Greatest Common Factor of 40749 and 40761?

Greatest common factor (GCF) of 40749 and 40761 is 3.

GCF(40749,40761) = 3

We will now calculate the prime factors of 40749 and 40761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40749 and 40761.

How to find the GCF of 40749 and 40761?

We will first find the prime factorization of 40749 and 40761. After we will calculate the factors of 40749 and 40761 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 40761

Prime factors of 40761 are 3, 7, 647. Prime factorization of 40761 in exponential form is:

40761 = 3² × 7¹ × 647¹

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 40761

List of positive integer factors of 40761 that divides 40749 without a remainder.

1, 3, 7, 9, 21, 63, 647, 1941, 4529, 5823, 13587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40749 and 40761. The biggest common factor number is the GCF number.
So the greatest common factor 40749 and 40761 is 3.

Also check out the Least Common Multiple of 40749 and 40761