What is the Greatest Common Factor of 7884 and 7898?

Greatest common factor (GCF) of 7884 and 7898 is 2.

GCF(7884,7898) = 2

We will now calculate the prime factors of 7884 and 7898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7884 and 7898.

How to find the GCF of 7884 and 7898?

We will first find the prime factorization of 7884 and 7898. After we will calculate the factors of 7884 and 7898 and find the biggest common factor number .

Step-1: Prime Factorization of 7884

Prime factors of 7884 are 2, 3, 73. Prime factorization of 7884 in exponential form is:

7884 = 2² × 3³ × 73¹

Step-2: Prime Factorization of 7898

Prime factors of 7898 are 2, 11, 359. Prime factorization of 7898 in exponential form is:

7898 = 2¹ × 11¹ × 359¹

Step-3: Factors of 7884

List of positive integer factors of 7884 that divides 7884 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942

Step-4: Factors of 7898

List of positive integer factors of 7898 that divides 7884 without a remainder.

1, 2, 11, 22, 359, 718, 3949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7884 and 7898. The biggest common factor number is the GCF number.
So the greatest common factor 7884 and 7898 is 2.

Also check out the Least Common Multiple of 7884 and 7898