What is the Greatest Common Factor of 20638 and 20648?

Greatest common factor (GCF) of 20638 and 20648 is 2.

GCF(20638,20648) = 2

We will now calculate the prime factors of 20638 and 20648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20638 and 20648.

How to find the GCF of 20638 and 20648?

We will first find the prime factorization of 20638 and 20648. After we will calculate the factors of 20638 and 20648 and find the biggest common factor number .

Step-1: Prime Factorization of 20638

Prime factors of 20638 are 2, 17, 607. Prime factorization of 20638 in exponential form is:

20638 = 2¹ × 17¹ × 607¹

Step-2: Prime Factorization of 20648

Prime factors of 20648 are 2, 29, 89. Prime factorization of 20648 in exponential form is:

20648 = 2³ × 29¹ × 89¹

Step-3: Factors of 20638

List of positive integer factors of 20638 that divides 20638 without a remainder.

1, 2, 17, 34, 607, 1214, 10319

Step-4: Factors of 20648

List of positive integer factors of 20648 that divides 20638 without a remainder.

1, 2, 4, 8, 29, 58, 89, 116, 178, 232, 356, 712, 2581, 5162, 10324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20638 and 20648. The biggest common factor number is the GCF number.
So the greatest common factor 20638 and 20648 is 2.

Also check out the Least Common Multiple of 20638 and 20648