What is the Greatest Common Factor of 78500 and 78516?

Greatest common factor (GCF) of 78500 and 78516 is 4.

GCF(78500,78516) = 4

We will now calculate the prime factors of 78500 and 78516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78500 and 78516.

How to find the GCF of 78500 and 78516?

We will first find the prime factorization of 78500 and 78516. After we will calculate the factors of 78500 and 78516 and find the biggest common factor number .

Step-1: Prime Factorization of 78500

Prime factors of 78500 are 2, 5, 157. Prime factorization of 78500 in exponential form is:

78500 = 2² × 5³ × 157¹

Step-2: Prime Factorization of 78516

Prime factors of 78516 are 2, 3, 727. Prime factorization of 78516 in exponential form is:

78516 = 2² × 3³ × 727¹

Step-3: Factors of 78500

List of positive integer factors of 78500 that divides 78500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 157, 250, 314, 500, 628, 785, 1570, 3140, 3925, 7850, 15700, 19625, 39250

Step-4: Factors of 78516

List of positive integer factors of 78516 that divides 78500 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 727, 1454, 2181, 2908, 4362, 6543, 8724, 13086, 19629, 26172, 39258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78500 and 78516. The biggest common factor number is the GCF number.
So the greatest common factor 78500 and 78516 is 4.

Also check out the Least Common Multiple of 78500 and 78516