What is the Greatest Common Factor of 79792 and 79804?

Greatest common factor (GCF) of 79792 and 79804 is 4.

GCF(79792,79804) = 4

We will now calculate the prime factors of 79792 and 79804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79792 and 79804.

How to find the GCF of 79792 and 79804?

We will first find the prime factorization of 79792 and 79804. After we will calculate the factors of 79792 and 79804 and find the biggest common factor number .

Step-1: Prime Factorization of 79792

Prime factors of 79792 are 2, 4987. Prime factorization of 79792 in exponential form is:

79792 = 2⁴ × 4987¹

Step-2: Prime Factorization of 79804

Prime factors of 79804 are 2, 71, 281. Prime factorization of 79804 in exponential form is:

79804 = 2² × 71¹ × 281¹

Step-3: Factors of 79792

List of positive integer factors of 79792 that divides 79792 without a remainder.

1, 2, 4, 8, 16, 4987, 9974, 19948, 39896

Step-4: Factors of 79804

List of positive integer factors of 79804 that divides 79792 without a remainder.

1, 2, 4, 71, 142, 281, 284, 562, 1124, 19951, 39902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79792 and 79804. The biggest common factor number is the GCF number.
So the greatest common factor 79792 and 79804 is 4.

Also check out the Least Common Multiple of 79792 and 79804