What is the Greatest Common Factor of 20888 and 20902?

Greatest common factor (GCF) of 20888 and 20902 is 14.

GCF(20888,20902) = 14

We will now calculate the prime factors of 20888 and 20902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20888 and 20902.

How to find the GCF of 20888 and 20902?

We will first find the prime factorization of 20888 and 20902. After we will calculate the factors of 20888 and 20902 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 20902

Prime factors of 20902 are 2, 7, 1493. Prime factorization of 20902 in exponential form is:

20902 = 2¹ × 7¹ × 1493¹

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 20902

List of positive integer factors of 20902 that divides 20888 without a remainder.

1, 2, 7, 14, 1493, 2986, 10451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20888 and 20902. The biggest common factor number is the GCF number.
So the greatest common factor 20888 and 20902 is 14.

Also check out the Least Common Multiple of 20888 and 20902