What is the Greatest Common Factor of 46460 and 46474?

Greatest common factor (GCF) of 46460 and 46474 is 2.

GCF(46460,46474) = 2

We will now calculate the prime factors of 46460 and 46474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46460 and 46474.

How to find the GCF of 46460 and 46474?

We will first find the prime factorization of 46460 and 46474. After we will calculate the factors of 46460 and 46474 and find the biggest common factor number .

Step-1: Prime Factorization of 46460

Prime factors of 46460 are 2, 5, 23, 101. Prime factorization of 46460 in exponential form is:

46460 = 2² × 5¹ × 23¹ × 101¹

Step-2: Prime Factorization of 46474

Prime factors of 46474 are 2, 19, 1223. Prime factorization of 46474 in exponential form is:

46474 = 2¹ × 19¹ × 1223¹

Step-3: Factors of 46460

List of positive integer factors of 46460 that divides 46460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 101, 115, 202, 230, 404, 460, 505, 1010, 2020, 2323, 4646, 9292, 11615, 23230

Step-4: Factors of 46474

List of positive integer factors of 46474 that divides 46460 without a remainder.

1, 2, 19, 38, 1223, 2446, 23237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46460 and 46474. The biggest common factor number is the GCF number.
So the greatest common factor 46460 and 46474 is 2.

Also check out the Least Common Multiple of 46460 and 46474