What is the Greatest Common Factor of 53638 and 53654?

Greatest common factor (GCF) of 53638 and 53654 is 2.

GCF(53638,53654) = 2

We will now calculate the prime factors of 53638 and 53654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53638 and 53654.

How to find the GCF of 53638 and 53654?

We will first find the prime factorization of 53638 and 53654. After we will calculate the factors of 53638 and 53654 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 53654

Prime factors of 53654 are 2, 139, 193. Prime factorization of 53654 in exponential form is:

53654 = 2¹ × 139¹ × 193¹

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 53654

List of positive integer factors of 53654 that divides 53638 without a remainder.

1, 2, 139, 193, 278, 386, 26827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53638 and 53654. The biggest common factor number is the GCF number.
So the greatest common factor 53638 and 53654 is 2.

Also check out the Least Common Multiple of 53638 and 53654