What is the Greatest Common Factor of 50450 and 50460?

Greatest common factor (GCF) of 50450 and 50460 is 10.

GCF(50450,50460) = 10

We will now calculate the prime factors of 50450 and 50460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50450 and 50460.

How to find the GCF of 50450 and 50460?

We will first find the prime factorization of 50450 and 50460. After we will calculate the factors of 50450 and 50460 and find the biggest common factor number .

Step-1: Prime Factorization of 50450

Prime factors of 50450 are 2, 5, 1009. Prime factorization of 50450 in exponential form is:

50450 = 2¹ × 5² × 1009¹

Step-2: 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-3: Factors of 50450

List of positive integer factors of 50450 that divides 50450 without a remainder.

1, 2, 5, 10, 25, 50, 1009, 2018, 5045, 10090, 25225

Step-4: Factors of 50460

List of positive integer factors of 50460 that divides 50450 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50450 and 50460. The biggest common factor number is the GCF number.
So the greatest common factor 50450 and 50460 is 10.

Also check out the Least Common Multiple of 50450 and 50460