What is the Greatest Common Factor of 28378 and 28392?

Greatest common factor (GCF) of 28378 and 28392 is 14.

GCF(28378,28392) = 14

We will now calculate the prime factors of 28378 and 28392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28378 and 28392.

How to find the GCF of 28378 and 28392?

We will first find the prime factorization of 28378 and 28392. After we will calculate the factors of 28378 and 28392 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28392

Prime factors of 28392 are 2, 3, 7, 13. Prime factorization of 28392 in exponential form is:

28392 = 2³ × 3¹ × 7¹ × 13²

Step-3: Factors of 28378

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

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

Step-4: Factors of 28392

List of positive integer factors of 28392 that divides 28378 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 169, 182, 273, 312, 338, 364, 507, 546, 676, 728, 1014, 1092, 1183, 1352, 2028, 2184, 2366, 3549, 4056, 4732, 7098, 9464, 14196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28378 and 28392. The biggest common factor number is the GCF number.
So the greatest common factor 28378 and 28392 is 14.

Also check out the Least Common Multiple of 28378 and 28392