What is the Greatest Common Factor of 20888 and 20908?

Greatest common factor (GCF) of 20888 and 20908 is 4.

GCF(20888,20908) = 4

We will now calculate the prime factors of 20888 and 20908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20888 and 20908.

How to find the GCF of 20888 and 20908?

We will first find the prime factorization of 20888 and 20908. After we will calculate the factors of 20888 and 20908 and find the biggest common factor number .

Step-1: Prime Factorization of 20888

Prime factors of 20888 are 2, 7, 373. Prime factorization of 20888 in exponential form is:

20888 = 2³ × 7¹ × 373¹

Step-2: Prime Factorization of 20908

Prime factors of 20908 are 2, 5227. Prime factorization of 20908 in exponential form is:

20908 = 2² × 5227¹

Step-3: Factors of 20888

List of positive integer factors of 20888 that divides 20888 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 373, 746, 1492, 2611, 2984, 5222, 10444

Step-4: Factors of 20908

List of positive integer factors of 20908 that divides 20888 without a remainder.

1, 2, 4, 5227, 10454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20888 and 20908. The biggest common factor number is the GCF number.
So the greatest common factor 20888 and 20908 is 4.

Also check out the Least Common Multiple of 20888 and 20908