What is the Greatest Common Factor of 50460 and 50474?

Greatest common factor (GCF) of 50460 and 50474 is 2.

GCF(50460,50474) = 2

We will now calculate the prime factors of 50460 and 50474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50460 and 50474.

How to find the GCF of 50460 and 50474?

We will first find the prime factorization of 50460 and 50474. After we will calculate the factors of 50460 and 50474 and find the biggest common factor number .

Step-1: Prime Factorization of 50460

Prime factors of 50460 are 2, 3, 5, 29. Prime factorization of 50460 in exponential form is:

50460 = 2² × 3¹ × 5¹ × 29²

Step-2: Prime Factorization of 50474

Prime factors of 50474 are 2, 25237. Prime factorization of 50474 in exponential form is:

50474 = 2¹ × 25237¹

Step-3: Factors of 50460

List of positive integer factors of 50460 that divides 50460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 841, 870, 1682, 1740, 2523, 3364, 4205, 5046, 8410, 10092, 12615, 16820, 25230

Step-4: Factors of 50474

List of positive integer factors of 50474 that divides 50460 without a remainder.

1, 2, 25237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50460 and 50474. The biggest common factor number is the GCF number.
So the greatest common factor 50460 and 50474 is 2.

Also check out the Least Common Multiple of 50460 and 50474