What is the Greatest Common Factor of 40502 and 40516?

Greatest common factor (GCF) of 40502 and 40516 is 14.

GCF(40502,40516) = 14

We will now calculate the prime factors of 40502 and 40516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40502 and 40516.

How to find the GCF of 40502 and 40516?

We will first find the prime factorization of 40502 and 40516. After we will calculate the factors of 40502 and 40516 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40516

Prime factors of 40516 are 2, 7, 1447. Prime factorization of 40516 in exponential form is:

40516 = 2² × 7¹ × 1447¹

Step-3: Factors of 40502

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

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

Step-4: Factors of 40516

List of positive integer factors of 40516 that divides 40502 without a remainder.

1, 2, 4, 7, 14, 28, 1447, 2894, 5788, 10129, 20258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40502 and 40516. The biggest common factor number is the GCF number.
So the greatest common factor 40502 and 40516 is 14.

Also check out the Least Common Multiple of 40502 and 40516