What is the Greatest Common Factor of 42784 and 42798?

Greatest common factor (GCF) of 42784 and 42798 is 14.

GCF(42784,42798) = 14

We will now calculate the prime factors of 42784 and 42798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42784 and 42798.

How to find the GCF of 42784 and 42798?

We will first find the prime factorization of 42784 and 42798. After we will calculate the factors of 42784 and 42798 and find the biggest common factor number .

Step-1: Prime Factorization of 42784

Prime factors of 42784 are 2, 7, 191. Prime factorization of 42784 in exponential form is:

42784 = 2⁵ × 7¹ × 191¹

Step-2: Prime Factorization of 42798

Prime factors of 42798 are 2, 3, 7, 1019. Prime factorization of 42798 in exponential form is:

42798 = 2¹ × 3¹ × 7¹ × 1019¹

Step-3: Factors of 42784

List of positive integer factors of 42784 that divides 42784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 191, 224, 382, 764, 1337, 1528, 2674, 3056, 5348, 6112, 10696, 21392

Step-4: Factors of 42798

List of positive integer factors of 42798 that divides 42784 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1019, 2038, 3057, 6114, 7133, 14266, 21399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42784 and 42798. The biggest common factor number is the GCF number.
So the greatest common factor 42784 and 42798 is 14.

Also check out the Least Common Multiple of 42784 and 42798