What is the Greatest Common Factor of 50890 and 50900?

Greatest common factor (GCF) of 50890 and 50900 is 10.

GCF(50890,50900) = 10

We will now calculate the prime factors of 50890 and 50900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50890 and 50900.

How to find the GCF of 50890 and 50900?

We will first find the prime factorization of 50890 and 50900. After we will calculate the factors of 50890 and 50900 and find the biggest common factor number .

Step-1: Prime Factorization of 50890

Prime factors of 50890 are 2, 5, 7, 727. Prime factorization of 50890 in exponential form is:

50890 = 2¹ × 5¹ × 7¹ × 727¹

Step-2: Prime Factorization of 50900

Prime factors of 50900 are 2, 5, 509. Prime factorization of 50900 in exponential form is:

50900 = 2² × 5² × 509¹

Step-3: Factors of 50890

List of positive integer factors of 50890 that divides 50890 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 727, 1454, 3635, 5089, 7270, 10178, 25445

Step-4: Factors of 50900

List of positive integer factors of 50900 that divides 50890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 509, 1018, 2036, 2545, 5090, 10180, 12725, 25450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50890 and 50900. The biggest common factor number is the GCF number.
So the greatest common factor 50890 and 50900 is 10.

Also check out the Least Common Multiple of 50890 and 50900