What is the Greatest Common Factor of 78892 and 78900?

Greatest common factor (GCF) of 78892 and 78900 is 4.

GCF(78892,78900) = 4

We will now calculate the prime factors of 78892 and 78900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78892 and 78900.

How to find the GCF of 78892 and 78900?

We will first find the prime factorization of 78892 and 78900. After we will calculate the factors of 78892 and 78900 and find the biggest common factor number .

Step-1: Prime Factorization of 78892

Prime factors of 78892 are 2, 11, 163. Prime factorization of 78892 in exponential form is:

78892 = 2² × 11² × 163¹

Step-2: 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-3: Factors of 78892

List of positive integer factors of 78892 that divides 78892 without a remainder.

1, 2, 4, 11, 22, 44, 121, 163, 242, 326, 484, 652, 1793, 3586, 7172, 19723, 39446

Step-4: Factors of 78900

List of positive integer factors of 78900 that divides 78892 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78892 and 78900. The biggest common factor number is the GCF number.
So the greatest common factor 78892 and 78900 is 4.

Also check out the Least Common Multiple of 78892 and 78900