What is the Greatest Common Factor of 79808 and 79824?

Greatest common factor (GCF) of 79808 and 79824 is 16.

GCF(79808,79824) = 16

We will now calculate the prime factors of 79808 and 79824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79808 and 79824.

How to find the GCF of 79808 and 79824?

We will first find the prime factorization of 79808 and 79824. After we will calculate the factors of 79808 and 79824 and find the biggest common factor number .

Step-1: Prime Factorization of 79808

Prime factors of 79808 are 2, 29, 43. Prime factorization of 79808 in exponential form is:

79808 = 2⁶ × 29¹ × 43¹

Step-2: Prime Factorization of 79824

Prime factors of 79824 are 2, 3, 1663. Prime factorization of 79824 in exponential form is:

79824 = 2⁴ × 3¹ × 1663¹

Step-3: Factors of 79808

List of positive integer factors of 79808 that divides 79808 without a remainder.

1, 2, 4, 8, 16, 29, 32, 43, 58, 64, 86, 116, 172, 232, 344, 464, 688, 928, 1247, 1376, 1856, 2494, 2752, 4988, 9976, 19952, 39904

Step-4: Factors of 79824

List of positive integer factors of 79824 that divides 79808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1663, 3326, 4989, 6652, 9978, 13304, 19956, 26608, 39912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79808 and 79824. The biggest common factor number is the GCF number.
So the greatest common factor 79808 and 79824 is 16.

Also check out the Least Common Multiple of 79808 and 79824