What is the Greatest Common Factor of 50640 and 50649?

Greatest common factor (GCF) of 50640 and 50649 is 3.

GCF(50640,50649) = 3

We will now calculate the prime factors of 50640 and 50649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50640 and 50649.

How to find the GCF of 50640 and 50649?

We will first find the prime factorization of 50640 and 50649. After we will calculate the factors of 50640 and 50649 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 50649

Prime factors of 50649 are 3, 16883. Prime factorization of 50649 in exponential form is:

50649 = 3¹ × 16883¹

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 50649

List of positive integer factors of 50649 that divides 50640 without a remainder.

1, 3, 16883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50640 and 50649. The biggest common factor number is the GCF number.
So the greatest common factor 50640 and 50649 is 3.

Also check out the Least Common Multiple of 50640 and 50649