What is the Greatest Common Factor of 78800 and 78812?

Greatest common factor (GCF) of 78800 and 78812 is 4.

GCF(78800,78812) = 4

We will now calculate the prime factors of 78800 and 78812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78800 and 78812.

How to find the GCF of 78800 and 78812?

We will first find the prime factorization of 78800 and 78812. After we will calculate the factors of 78800 and 78812 and find the biggest common factor number .

Step-1: Prime Factorization of 78800

Prime factors of 78800 are 2, 5, 197. Prime factorization of 78800 in exponential form is:

78800 = 2⁴ × 5² × 197¹

Step-2: Prime Factorization of 78812

Prime factors of 78812 are 2, 17, 19, 61. Prime factorization of 78812 in exponential form is:

78812 = 2² × 17¹ × 19¹ × 61¹

Step-3: Factors of 78800

List of positive integer factors of 78800 that divides 78800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 197, 200, 394, 400, 788, 985, 1576, 1970, 3152, 3940, 4925, 7880, 9850, 15760, 19700, 39400

Step-4: Factors of 78812

List of positive integer factors of 78812 that divides 78800 without a remainder.

1, 2, 4, 17, 19, 34, 38, 61, 68, 76, 122, 244, 323, 646, 1037, 1159, 1292, 2074, 2318, 4148, 4636, 19703, 39406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78800 and 78812. The biggest common factor number is the GCF number.
So the greatest common factor 78800 and 78812 is 4.

Also check out the Least Common Multiple of 78800 and 78812