What is the Greatest Common Factor of 50225 and 50240?

Greatest common factor (GCF) of 50225 and 50240 is 5.

GCF(50225,50240) = 5

We will now calculate the prime factors of 50225 and 50240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50225 and 50240.

How to find the GCF of 50225 and 50240?

We will first find the prime factorization of 50225 and 50240. After we will calculate the factors of 50225 and 50240 and find the biggest common factor number .

Step-1: Prime Factorization of 50225

Prime factors of 50225 are 5, 7, 41. Prime factorization of 50225 in exponential form is:

50225 = 5² × 7² × 41¹

Step-2: Prime Factorization of 50240

Prime factors of 50240 are 2, 5, 157. Prime factorization of 50240 in exponential form is:

50240 = 2⁶ × 5¹ × 157¹

Step-3: Factors of 50225

List of positive integer factors of 50225 that divides 50225 without a remainder.

1, 5, 7, 25, 35, 41, 49, 175, 205, 245, 287, 1025, 1225, 1435, 2009, 7175, 10045

Step-4: Factors of 50240

List of positive integer factors of 50240 that divides 50225 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 157, 160, 314, 320, 628, 785, 1256, 1570, 2512, 3140, 5024, 6280, 10048, 12560, 25120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50225 and 50240. The biggest common factor number is the GCF number.
So the greatest common factor 50225 and 50240 is 5.

Also check out the Least Common Multiple of 50225 and 50240