What is the Greatest Common Factor of 78830 and 78850?

Greatest common factor (GCF) of 78830 and 78850 is 10.

GCF(78830,78850) = 10

We will now calculate the prime factors of 78830 and 78850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78830 and 78850.

How to find the GCF of 78830 and 78850?

We will first find the prime factorization of 78830 and 78850. After we will calculate the factors of 78830 and 78850 and find the biggest common factor number .

Step-1: Prime Factorization of 78830

Prime factors of 78830 are 2, 5, 7883. Prime factorization of 78830 in exponential form is:

78830 = 2¹ × 5¹ × 7883¹

Step-2: Prime Factorization of 78850

Prime factors of 78850 are 2, 5, 19, 83. Prime factorization of 78850 in exponential form is:

78850 = 2¹ × 5² × 19¹ × 83¹

Step-3: Factors of 78830

List of positive integer factors of 78830 that divides 78830 without a remainder.

1, 2, 5, 10, 7883, 15766, 39415

Step-4: Factors of 78850

List of positive integer factors of 78850 that divides 78830 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 83, 95, 166, 190, 415, 475, 830, 950, 1577, 2075, 3154, 4150, 7885, 15770, 39425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78830 and 78850. The biggest common factor number is the GCF number.
So the greatest common factor 78830 and 78850 is 10.

Also check out the Least Common Multiple of 78830 and 78850