What is the Greatest Common Factor of 40506 and 40521?

Greatest common factor (GCF) of 40506 and 40521 is 3.

GCF(40506,40521) = 3

We will now calculate the prime factors of 40506 and 40521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40506 and 40521.

How to find the GCF of 40506 and 40521?

We will first find the prime factorization of 40506 and 40521. After we will calculate the factors of 40506 and 40521 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40521

Prime factors of 40521 are 3, 13, 1039. Prime factorization of 40521 in exponential form is:

40521 = 3¹ × 13¹ × 1039¹

Step-3: Factors of 40506

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

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

Step-4: Factors of 40521

List of positive integer factors of 40521 that divides 40506 without a remainder.

1, 3, 13, 39, 1039, 3117, 13507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40506 and 40521. The biggest common factor number is the GCF number.
So the greatest common factor 40506 and 40521 is 3.

Also check out the Least Common Multiple of 40506 and 40521