What is the Greatest Common Factor of 77996 and 78008?

Greatest common factor (GCF) of 77996 and 78008 is 4.

GCF(77996,78008) = 4

We will now calculate the prime factors of 77996 and 78008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77996 and 78008.

How to find the GCF of 77996 and 78008?

We will first find the prime factorization of 77996 and 78008. After we will calculate the factors of 77996 and 78008 and find the biggest common factor number .

Step-1: Prime Factorization of 77996

Prime factors of 77996 are 2, 17, 31, 37. Prime factorization of 77996 in exponential form is:

77996 = 2² × 17¹ × 31¹ × 37¹

Step-2: Prime Factorization of 78008

Prime factors of 78008 are 2, 7, 199. Prime factorization of 78008 in exponential form is:

78008 = 2³ × 7² × 199¹

Step-3: Factors of 77996

List of positive integer factors of 77996 that divides 77996 without a remainder.

1, 2, 4, 17, 31, 34, 37, 62, 68, 74, 124, 148, 527, 629, 1054, 1147, 1258, 2108, 2294, 2516, 4588, 19499, 38998

Step-4: Factors of 78008

List of positive integer factors of 78008 that divides 77996 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 199, 392, 398, 796, 1393, 1592, 2786, 5572, 9751, 11144, 19502, 39004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77996 and 78008. The biggest common factor number is the GCF number.
So the greatest common factor 77996 and 78008 is 4.

Also check out the Least Common Multiple of 77996 and 78008