What is the Greatest Common Factor of 78900 and 78907?

Greatest common factor (GCF) of 78900 and 78907 is 1.

GCF(78900,78907) = 1

We will now calculate the prime factors of 78900 and 78907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78900 and 78907.

How to find the GCF of 78900 and 78907?

We will first find the prime factorization of 78900 and 78907. After we will calculate the factors of 78900 and 78907 and find the biggest common factor number .

Step-1: Prime Factorization of 78900

Prime factors of 78900 are 2, 3, 5, 263. Prime factorization of 78900 in exponential form is:

78900 = 2² × 3¹ × 5² × 263¹

Step-2: Prime Factorization of 78907

Prime factors of 78907 are 19, 4153. Prime factorization of 78907 in exponential form is:

78907 = 19¹ × 4153¹

Step-3: Factors of 78900

List of positive integer factors of 78900 that divides 78900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 263, 300, 526, 789, 1052, 1315, 1578, 2630, 3156, 3945, 5260, 6575, 7890, 13150, 15780, 19725, 26300, 39450

Step-4: Factors of 78907

List of positive integer factors of 78907 that divides 78900 without a remainder.

1, 19, 4153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78900 and 78907. The biggest common factor number is the GCF number.
So the greatest common factor 78900 and 78907 is 1.

Also check out the Least Common Multiple of 78900 and 78907