What is the Greatest Common Factor of 20888 and 20901?

Greatest common factor (GCF) of 20888 and 20901 is 1.

GCF(20888,20901) = 1

We will now calculate the prime factors of 20888 and 20901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20888 and 20901.

How to find the GCF of 20888 and 20901?

We will first find the prime factorization of 20888 and 20901. After we will calculate the factors of 20888 and 20901 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 20901

Prime factors of 20901 are 3, 6967. Prime factorization of 20901 in exponential form is:

20901 = 3¹ × 6967¹

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 20901

List of positive integer factors of 20901 that divides 20888 without a remainder.

1, 3, 6967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20888 and 20901. The biggest common factor number is the GCF number.
So the greatest common factor 20888 and 20901 is 1.

Also check out the Least Common Multiple of 20888 and 20901