What is the Greatest Common Factor of 40488 and 40502?

Greatest common factor (GCF) of 40488 and 40502 is 14.

GCF(40488,40502) = 14

We will now calculate the prime factors of 40488 and 40502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40488 and 40502.

How to find the GCF of 40488 and 40502?

We will first find the prime factorization of 40488 and 40502. After we will calculate the factors of 40488 and 40502 and find the biggest common factor number .

Step-1: Prime Factorization of 40488

Prime factors of 40488 are 2, 3, 7, 241. Prime factorization of 40488 in exponential form is:

40488 = 2³ × 3¹ × 7¹ × 241¹

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 40488

List of positive integer factors of 40488 that divides 40488 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 241, 482, 723, 964, 1446, 1687, 1928, 2892, 3374, 5061, 5784, 6748, 10122, 13496, 20244

Step-4: Factors of 40502

List of positive integer factors of 40502 that divides 40488 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 40488 and 40502. The biggest common factor number is the GCF number.
So the greatest common factor 40488 and 40502 is 14.

Also check out the Least Common Multiple of 40488 and 40502