What is the Greatest Common Factor of 8901 and 8906?

Greatest common factor (GCF) of 8901 and 8906 is 1.

GCF(8901,8906) = 1

We will now calculate the prime factors of 8901 and 8906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8901 and 8906.

How to find the GCF of 8901 and 8906?

We will first find the prime factorization of 8901 and 8906. After we will calculate the factors of 8901 and 8906 and find the biggest common factor number .

Step-1: Prime Factorization of 8901

Prime factors of 8901 are 3, 23, 43. Prime factorization of 8901 in exponential form is:

8901 = 3² × 23¹ × 43¹

Step-2: Prime Factorization of 8906

Prime factors of 8906 are 2, 61, 73. Prime factorization of 8906 in exponential form is:

8906 = 2¹ × 61¹ × 73¹

Step-3: Factors of 8901

List of positive integer factors of 8901 that divides 8901 without a remainder.

1, 3, 9, 23, 43, 69, 129, 207, 387, 989, 2967

Step-4: Factors of 8906

List of positive integer factors of 8906 that divides 8901 without a remainder.

1, 2, 61, 73, 122, 146, 4453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8901 and 8906. The biggest common factor number is the GCF number.
So the greatest common factor 8901 and 8906 is 1.

Also check out the Least Common Multiple of 8901 and 8906