What is the Greatest Common Factor of 8906 and 8922?

Greatest common factor (GCF) of 8906 and 8922 is 2.

GCF(8906,8922) = 2

We will now calculate the prime factors of 8906 and 8922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8906 and 8922.

How to find the GCF of 8906 and 8922?

We will first find the prime factorization of 8906 and 8922. After we will calculate the factors of 8906 and 8922 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8922

Prime factors of 8922 are 2, 3, 1487. Prime factorization of 8922 in exponential form is:

8922 = 2¹ × 3¹ × 1487¹

Step-3: Factors of 8906

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

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

Step-4: Factors of 8922

List of positive integer factors of 8922 that divides 8906 without a remainder.

1, 2, 3, 6, 1487, 2974, 4461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8906 and 8922. The biggest common factor number is the GCF number.
So the greatest common factor 8906 and 8922 is 2.

Also check out the Least Common Multiple of 8906 and 8922