What is the Greatest Common Factor of 50640 and 50650?

Greatest common factor (GCF) of 50640 and 50650 is 10.

GCF(50640,50650) = 10

We will now calculate the prime factors of 50640 and 50650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50640 and 50650.

How to find the GCF of 50640 and 50650?

We will first find the prime factorization of 50640 and 50650. After we will calculate the factors of 50640 and 50650 and find the biggest common factor number .

Step-1: Prime Factorization of 50640

Prime factors of 50640 are 2, 3, 5, 211. Prime factorization of 50640 in exponential form is:

50640 = 2⁴ × 3¹ × 5¹ × 211¹

Step-2: Prime Factorization of 50650

Prime factors of 50650 are 2, 5, 1013. Prime factorization of 50650 in exponential form is:

50650 = 2¹ × 5² × 1013¹

Step-3: Factors of 50640

List of positive integer factors of 50640 that divides 50640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 211, 240, 422, 633, 844, 1055, 1266, 1688, 2110, 2532, 3165, 3376, 4220, 5064, 6330, 8440, 10128, 12660, 16880, 25320

Step-4: Factors of 50650

List of positive integer factors of 50650 that divides 50640 without a remainder.

1, 2, 5, 10, 25, 50, 1013, 2026, 5065, 10130, 25325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50640 and 50650. The biggest common factor number is the GCF number.
So the greatest common factor 50640 and 50650 is 10.

Also check out the Least Common Multiple of 50640 and 50650