What is the Greatest Common Factor of 53638 and 53650?

Greatest common factor (GCF) of 53638 and 53650 is 2.

GCF(53638,53650) = 2

We will now calculate the prime factors of 53638 and 53650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53638 and 53650.

How to find the GCF of 53638 and 53650?

We will first find the prime factorization of 53638 and 53650. After we will calculate the factors of 53638 and 53650 and find the biggest common factor number .

Step-1: Prime Factorization of 53638

Prime factors of 53638 are 2, 13, 2063. Prime factorization of 53638 in exponential form is:

53638 = 2¹ × 13¹ × 2063¹

Step-2: Prime Factorization of 53650

Prime factors of 53650 are 2, 5, 29, 37. Prime factorization of 53650 in exponential form is:

53650 = 2¹ × 5² × 29¹ × 37¹

Step-3: Factors of 53638

List of positive integer factors of 53638 that divides 53638 without a remainder.

1, 2, 13, 26, 2063, 4126, 26819

Step-4: Factors of 53650

List of positive integer factors of 53650 that divides 53638 without a remainder.

1, 2, 5, 10, 25, 29, 37, 50, 58, 74, 145, 185, 290, 370, 725, 925, 1073, 1450, 1850, 2146, 5365, 10730, 26825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53638 and 53650. The biggest common factor number is the GCF number.
So the greatest common factor 53638 and 53650 is 2.

Also check out the Least Common Multiple of 53638 and 53650