What is the Greatest Common Factor of 50350 and 50360?

Greatest common factor (GCF) of 50350 and 50360 is 10.

GCF(50350,50360) = 10

We will now calculate the prime factors of 50350 and 50360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50350 and 50360.

How to find the GCF of 50350 and 50360?

We will first find the prime factorization of 50350 and 50360. After we will calculate the factors of 50350 and 50360 and find the biggest common factor number .

Step-1: Prime Factorization of 50350

Prime factors of 50350 are 2, 5, 19, 53. Prime factorization of 50350 in exponential form is:

50350 = 2¹ × 5² × 19¹ × 53¹

Step-2: Prime Factorization of 50360

Prime factors of 50360 are 2, 5, 1259. Prime factorization of 50360 in exponential form is:

50360 = 2³ × 5¹ × 1259¹

Step-3: Factors of 50350

List of positive integer factors of 50350 that divides 50350 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 53, 95, 106, 190, 265, 475, 530, 950, 1007, 1325, 2014, 2650, 5035, 10070, 25175

Step-4: Factors of 50360

List of positive integer factors of 50360 that divides 50350 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1259, 2518, 5036, 6295, 10072, 12590, 25180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50350 and 50360. The biggest common factor number is the GCF number.
So the greatest common factor 50350 and 50360 is 10.

Also check out the Least Common Multiple of 50350 and 50360