What is the Greatest Common Factor of 7882 and 7896?

Greatest common factor (GCF) of 7882 and 7896 is 14.

GCF(7882,7896) = 14

We will now calculate the prime factors of 7882 and 7896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7882 and 7896.

How to find the GCF of 7882 and 7896?

We will first find the prime factorization of 7882 and 7896. After we will calculate the factors of 7882 and 7896 and find the biggest common factor number .

Step-1: Prime Factorization of 7882

Prime factors of 7882 are 2, 7, 563. Prime factorization of 7882 in exponential form is:

7882 = 2¹ × 7¹ × 563¹

Step-2: Prime Factorization of 7896

Prime factors of 7896 are 2, 3, 7, 47. Prime factorization of 7896 in exponential form is:

7896 = 2³ × 3¹ × 7¹ × 47¹

Step-3: Factors of 7882

List of positive integer factors of 7882 that divides 7882 without a remainder.

1, 2, 7, 14, 563, 1126, 3941

Step-4: Factors of 7896

List of positive integer factors of 7896 that divides 7882 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7882 and 7896. The biggest common factor number is the GCF number.
So the greatest common factor 7882 and 7896 is 14.

Also check out the Least Common Multiple of 7882 and 7896