What is the Greatest Common Factor of 28364 and 28378?

Greatest common factor (GCF) of 28364 and 28378 is 14.

GCF(28364,28378) = 14

We will now calculate the prime factors of 28364 and 28378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28364 and 28378.

How to find the GCF of 28364 and 28378?

We will first find the prime factorization of 28364 and 28378. After we will calculate the factors of 28364 and 28378 and find the biggest common factor number .

Step-1: Prime Factorization of 28364

Prime factors of 28364 are 2, 7, 1013. Prime factorization of 28364 in exponential form is:

28364 = 2² × 7¹ × 1013¹

Step-2: Prime Factorization of 28378

Prime factors of 28378 are 2, 7, 2027. Prime factorization of 28378 in exponential form is:

28378 = 2¹ × 7¹ × 2027¹

Step-3: Factors of 28364

List of positive integer factors of 28364 that divides 28364 without a remainder.

1, 2, 4, 7, 14, 28, 1013, 2026, 4052, 7091, 14182

Step-4: Factors of 28378

List of positive integer factors of 28378 that divides 28364 without a remainder.

1, 2, 7, 14, 2027, 4054, 14189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28364 and 28378. The biggest common factor number is the GCF number.
So the greatest common factor 28364 and 28378 is 14.

Also check out the Least Common Multiple of 28364 and 28378