What is the Greatest Common Factor of 20888 and 20896?

Greatest common factor (GCF) of 20888 and 20896 is 8.

GCF(20888,20896) = 8

We will now calculate the prime factors of 20888 and 20896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20888 and 20896.

How to find the GCF of 20888 and 20896?

We will first find the prime factorization of 20888 and 20896. After we will calculate the factors of 20888 and 20896 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 20896

Prime factors of 20896 are 2, 653. Prime factorization of 20896 in exponential form is:

20896 = 2⁵ × 653¹

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 20896

List of positive integer factors of 20896 that divides 20888 without a remainder.

1, 2, 4, 8, 16, 32, 653, 1306, 2612, 5224, 10448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20888 and 20896. The biggest common factor number is the GCF number.
So the greatest common factor 20888 and 20896 is 8.

Also check out the Least Common Multiple of 20888 and 20896