What is the Greatest Common Factor of 40460 and 40474?

Greatest common factor (GCF) of 40460 and 40474 is 14.

GCF(40460,40474) = 14

We will now calculate the prime factors of 40460 and 40474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40460 and 40474.

How to find the GCF of 40460 and 40474?

We will first find the prime factorization of 40460 and 40474. After we will calculate the factors of 40460 and 40474 and find the biggest common factor number .

Step-1: Prime Factorization of 40460

Prime factors of 40460 are 2, 5, 7, 17. Prime factorization of 40460 in exponential form is:

40460 = 2² × 5¹ × 7¹ × 17²

Step-2: 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-3: Factors of 40460

List of positive integer factors of 40460 that divides 40460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 289, 340, 476, 578, 595, 1156, 1190, 1445, 2023, 2380, 2890, 4046, 5780, 8092, 10115, 20230

Step-4: Factors of 40474

List of positive integer factors of 40474 that divides 40460 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40460 and 40474. The biggest common factor number is the GCF number.
So the greatest common factor 40460 and 40474 is 14.

Also check out the Least Common Multiple of 40460 and 40474