What is the Greatest Common Factor of 50250 and 50264?

Greatest common factor (GCF) of 50250 and 50264 is 2.

GCF(50250,50264) = 2

We will now calculate the prime factors of 50250 and 50264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50250 and 50264.

How to find the GCF of 50250 and 50264?

We will first find the prime factorization of 50250 and 50264. After we will calculate the factors of 50250 and 50264 and find the biggest common factor number .

Step-1: Prime Factorization of 50250

Prime factors of 50250 are 2, 3, 5, 67. Prime factorization of 50250 in exponential form is:

50250 = 2¹ × 3¹ × 5³ × 67¹

Step-2: Prime Factorization of 50264

Prime factors of 50264 are 2, 61, 103. Prime factorization of 50264 in exponential form is:

50264 = 2³ × 61¹ × 103¹

Step-3: Factors of 50250

List of positive integer factors of 50250 that divides 50250 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 67, 75, 125, 134, 150, 201, 250, 335, 375, 402, 670, 750, 1005, 1675, 2010, 3350, 5025, 8375, 10050, 16750, 25125

Step-4: Factors of 50264

List of positive integer factors of 50264 that divides 50250 without a remainder.

1, 2, 4, 8, 61, 103, 122, 206, 244, 412, 488, 824, 6283, 12566, 25132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50250 and 50264. The biggest common factor number is the GCF number.
So the greatest common factor 50250 and 50264 is 2.

Also check out the Least Common Multiple of 50250 and 50264