What is the Greatest Common Factor of 40496 and 40502?

Greatest common factor (GCF) of 40496 and 40502 is 2.

GCF(40496,40502) = 2

We will now calculate the prime factors of 40496 and 40502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40496 and 40502.

How to find the GCF of 40496 and 40502?

We will first find the prime factorization of 40496 and 40502. After we will calculate the factors of 40496 and 40502 and find the biggest common factor number .

Step-1: Prime Factorization of 40496

Prime factors of 40496 are 2, 2531. Prime factorization of 40496 in exponential form is:

40496 = 2⁴ × 2531¹

Step-2: Prime Factorization of 40502

Prime factors of 40502 are 2, 7, 11, 263. Prime factorization of 40502 in exponential form is:

40502 = 2¹ × 7¹ × 11¹ × 263¹

Step-3: Factors of 40496

List of positive integer factors of 40496 that divides 40496 without a remainder.

1, 2, 4, 8, 16, 2531, 5062, 10124, 20248

Step-4: Factors of 40502

List of positive integer factors of 40502 that divides 40496 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 263, 526, 1841, 2893, 3682, 5786, 20251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40496 and 40502. The biggest common factor number is the GCF number.
So the greatest common factor 40496 and 40502 is 2.

Also check out the Least Common Multiple of 40496 and 40502