What is the Greatest Common Factor of 79888 and 79900?

Greatest common factor (GCF) of 79888 and 79900 is 4.

GCF(79888,79900) = 4

We will now calculate the prime factors of 79888 and 79900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79888 and 79900.

How to find the GCF of 79888 and 79900?

We will first find the prime factorization of 79888 and 79900. After we will calculate the factors of 79888 and 79900 and find the biggest common factor number .

Step-1: Prime Factorization of 79888

Prime factors of 79888 are 2, 4993. Prime factorization of 79888 in exponential form is:

79888 = 2⁴ × 4993¹

Step-2: Prime Factorization of 79900

Prime factors of 79900 are 2, 5, 17, 47. Prime factorization of 79900 in exponential form is:

79900 = 2² × 5² × 17¹ × 47¹

Step-3: Factors of 79888

List of positive integer factors of 79888 that divides 79888 without a remainder.

1, 2, 4, 8, 16, 4993, 9986, 19972, 39944

Step-4: Factors of 79900

List of positive integer factors of 79900 that divides 79888 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 47, 50, 68, 85, 94, 100, 170, 188, 235, 340, 425, 470, 799, 850, 940, 1175, 1598, 1700, 2350, 3196, 3995, 4700, 7990, 15980, 19975, 39950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79888 and 79900. The biggest common factor number is the GCF number.
So the greatest common factor 79888 and 79900 is 4.

Also check out the Least Common Multiple of 79888 and 79900