What is the Greatest Common Factor of 40497 and 40506?

Greatest common factor (GCF) of 40497 and 40506 is 3.

GCF(40497,40506) = 3

We will now calculate the prime factors of 40497 and 40506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40497 and 40506.

How to find the GCF of 40497 and 40506?

We will first find the prime factorization of 40497 and 40506. After we will calculate the factors of 40497 and 40506 and find the biggest common factor number .

Step-1: Prime Factorization of 40497

Prime factors of 40497 are 3, 13499. Prime factorization of 40497 in exponential form is:

40497 = 3¹ × 13499¹

Step-2: Prime Factorization of 40506

Prime factors of 40506 are 2, 3, 43, 157. Prime factorization of 40506 in exponential form is:

40506 = 2¹ × 3¹ × 43¹ × 157¹

Step-3: Factors of 40497

List of positive integer factors of 40497 that divides 40497 without a remainder.

1, 3, 13499

Step-4: Factors of 40506

List of positive integer factors of 40506 that divides 40497 without a remainder.

1, 2, 3, 6, 43, 86, 129, 157, 258, 314, 471, 942, 6751, 13502, 20253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40497 and 40506. The biggest common factor number is the GCF number.
So the greatest common factor 40497 and 40506 is 3.

Also check out the Least Common Multiple of 40497 and 40506