What is the Greatest Common Factor of 7914 and 7921?

Greatest common factor (GCF) of 7914 and 7921 is 1.

GCF(7914,7921) = 1

We will now calculate the prime factors of 7914 and 7921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7914 and 7921.

How to find the GCF of 7914 and 7921?

We will first find the prime factorization of 7914 and 7921. After we will calculate the factors of 7914 and 7921 and find the biggest common factor number .

Step-1: Prime Factorization of 7914

Prime factors of 7914 are 2, 3, 1319. Prime factorization of 7914 in exponential form is:

7914 = 2¹ × 3¹ × 1319¹

Step-2: Prime Factorization of 7921

Prime factors of 7921 are 89. Prime factorization of 7921 in exponential form is:

7921 = 89²

Step-3: Factors of 7914

List of positive integer factors of 7914 that divides 7914 without a remainder.

1, 2, 3, 6, 1319, 2638, 3957

Step-4: Factors of 7921

List of positive integer factors of 7921 that divides 7914 without a remainder.

1, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7914 and 7921. The biggest common factor number is the GCF number.
So the greatest common factor 7914 and 7921 is 1.

Also check out the Least Common Multiple of 7914 and 7921