What is the Greatest Common Factor of 50850 and 50870?

Greatest common factor (GCF) of 50850 and 50870 is 10.

GCF(50850,50870) = 10

We will now calculate the prime factors of 50850 and 50870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50850 and 50870.

How to find the GCF of 50850 and 50870?

We will first find the prime factorization of 50850 and 50870. After we will calculate the factors of 50850 and 50870 and find the biggest common factor number .

Step-1: Prime Factorization of 50850

Prime factors of 50850 are 2, 3, 5, 113. Prime factorization of 50850 in exponential form is:

50850 = 2¹ × 3² × 5² × 113¹

Step-2: Prime Factorization of 50870

Prime factors of 50870 are 2, 5, 5087. Prime factorization of 50870 in exponential form is:

50870 = 2¹ × 5¹ × 5087¹

Step-3: Factors of 50850

List of positive integer factors of 50850 that divides 50850 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 113, 150, 225, 226, 339, 450, 565, 678, 1017, 1130, 1695, 2034, 2825, 3390, 5085, 5650, 8475, 10170, 16950, 25425

Step-4: Factors of 50870

List of positive integer factors of 50870 that divides 50850 without a remainder.

1, 2, 5, 10, 5087, 10174, 25435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50850 and 50870. The biggest common factor number is the GCF number.
So the greatest common factor 50850 and 50870 is 10.

Also check out the Least Common Multiple of 50850 and 50870