What is the Greatest Common Factor of 40744 and 40760?

Greatest common factor (GCF) of 40744 and 40760 is 8.

GCF(40744,40760) = 8

We will now calculate the prime factors of 40744 and 40760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40744 and 40760.

How to find the GCF of 40744 and 40760?

We will first find the prime factorization of 40744 and 40760. After we will calculate the factors of 40744 and 40760 and find the biggest common factor number .

Step-1: Prime Factorization of 40744

Prime factors of 40744 are 2, 11, 463. Prime factorization of 40744 in exponential form is:

40744 = 2³ × 11¹ × 463¹

Step-2: Prime Factorization of 40760

Prime factors of 40760 are 2, 5, 1019. Prime factorization of 40760 in exponential form is:

40760 = 2³ × 5¹ × 1019¹

Step-3: Factors of 40744

List of positive integer factors of 40744 that divides 40744 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 463, 926, 1852, 3704, 5093, 10186, 20372

Step-4: Factors of 40760

List of positive integer factors of 40760 that divides 40744 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1019, 2038, 4076, 5095, 8152, 10190, 20380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40744 and 40760. The biggest common factor number is the GCF number.
So the greatest common factor 40744 and 40760 is 8.

Also check out the Least Common Multiple of 40744 and 40760