What is the Greatest Common Factor of 78890 and 78900?

Greatest common factor (GCF) of 78890 and 78900 is 10.

GCF(78890,78900) = 10

We will now calculate the prime factors of 78890 and 78900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78890 and 78900.

How to find the GCF of 78890 and 78900?

We will first find the prime factorization of 78890 and 78900. After we will calculate the factors of 78890 and 78900 and find the biggest common factor number .

Step-1: Prime Factorization of 78890

Prime factors of 78890 are 2, 5, 7, 23. Prime factorization of 78890 in exponential form is:

78890 = 2¹ × 5¹ × 7³ × 23¹

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 78890

List of positive integer factors of 78890 that divides 78890 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 49, 70, 98, 115, 161, 230, 245, 322, 343, 490, 686, 805, 1127, 1610, 1715, 2254, 3430, 5635, 7889, 11270, 15778, 39445

Step-4: Factors of 78900

List of positive integer factors of 78900 that divides 78890 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 78890 and 78900. The biggest common factor number is the GCF number.
So the greatest common factor 78890 and 78900 is 10.

Also check out the Least Common Multiple of 78890 and 78900