What is the Greatest Common Factor of 50635 and 50648?

Greatest common factor (GCF) of 50635 and 50648 is 13.

GCF(50635,50648) = 13

We will now calculate the prime factors of 50635 and 50648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50635 and 50648.

How to find the GCF of 50635 and 50648?

We will first find the prime factorization of 50635 and 50648. After we will calculate the factors of 50635 and 50648 and find the biggest common factor number .

Step-1: Prime Factorization of 50635

Prime factors of 50635 are 5, 13, 19, 41. Prime factorization of 50635 in exponential form is:

50635 = 5¹ × 13¹ × 19¹ × 41¹

Step-2: Prime Factorization of 50648

Prime factors of 50648 are 2, 13, 487. Prime factorization of 50648 in exponential form is:

50648 = 2³ × 13¹ × 487¹

Step-3: Factors of 50635

List of positive integer factors of 50635 that divides 50635 without a remainder.

1, 5, 13, 19, 41, 65, 95, 205, 247, 533, 779, 1235, 2665, 3895, 10127

Step-4: Factors of 50648

List of positive integer factors of 50648 that divides 50635 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 487, 974, 1948, 3896, 6331, 12662, 25324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50635 and 50648. The biggest common factor number is the GCF number.
So the greatest common factor 50635 and 50648 is 13.

Also check out the Least Common Multiple of 50635 and 50648