What is the Greatest Common Factor of 40474 and 40488?

Greatest common factor (GCF) of 40474 and 40488 is 14.

GCF(40474,40488) = 14

We will now calculate the prime factors of 40474 and 40488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40474 and 40488.

How to find the GCF of 40474 and 40488?

We will first find the prime factorization of 40474 and 40488. After we will calculate the factors of 40474 and 40488 and find the biggest common factor number .

Step-1: Prime Factorization of 40474

Prime factors of 40474 are 2, 7, 59. Prime factorization of 40474 in exponential form is:

40474 = 2¹ × 7³ × 59¹

Step-2: 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-3: Factors of 40474

List of positive integer factors of 40474 that divides 40474 without a remainder.

1, 2, 7, 14, 49, 59, 98, 118, 343, 413, 686, 826, 2891, 5782, 20237

Step-4: Factors of 40488

List of positive integer factors of 40488 that divides 40474 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40474 and 40488. The biggest common factor number is the GCF number.
So the greatest common factor 40474 and 40488 is 14.

Also check out the Least Common Multiple of 40474 and 40488