What is the Greatest Common Factor of 26001 and 26021?

Greatest common factor (GCF) of 26001 and 26021 is 1.

GCF(26001,26021) = 1

We will now calculate the prime factors of 26001 and 26021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26001 and 26021.

How to find the GCF of 26001 and 26021?

We will first find the prime factorization of 26001 and 26021. After we will calculate the factors of 26001 and 26021 and find the biggest common factor number .

Step-1: Prime Factorization of 26001

Prime factors of 26001 are 3, 107. Prime factorization of 26001 in exponential form is:

26001 = 3⁵ × 107¹

Step-2: Prime Factorization of 26021

Prime factors of 26021 are 26021. Prime factorization of 26021 in exponential form is:

26021 = 26021¹

Step-3: Factors of 26001

List of positive integer factors of 26001 that divides 26001 without a remainder.

1, 3, 9, 27, 81, 107, 243, 321, 963, 2889, 8667

Step-4: Factors of 26021

List of positive integer factors of 26021 that divides 26001 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26001 and 26021. The biggest common factor number is the GCF number.
So the greatest common factor 26001 and 26021 is 1.

Also check out the Least Common Multiple of 26001 and 26021