What is the Greatest Common Factor of 78600 and 78605?

Greatest common factor (GCF) of 78600 and 78605 is 5.

GCF(78600,78605) = 5

We will now calculate the prime factors of 78600 and 78605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78600 and 78605.

How to find the GCF of 78600 and 78605?

We will first find the prime factorization of 78600 and 78605. After we will calculate the factors of 78600 and 78605 and find the biggest common factor number .

Step-1: Prime Factorization of 78600

Prime factors of 78600 are 2, 3, 5, 131. Prime factorization of 78600 in exponential form is:

78600 = 2³ × 3¹ × 5² × 131¹

Step-2: Prime Factorization of 78605

Prime factors of 78605 are 5, 79, 199. Prime factorization of 78605 in exponential form is:

78605 = 5¹ × 79¹ × 199¹

Step-3: Factors of 78600

List of positive integer factors of 78600 that divides 78600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 131, 150, 200, 262, 300, 393, 524, 600, 655, 786, 1048, 1310, 1572, 1965, 2620, 3144, 3275, 3930, 5240, 6550, 7860, 9825, 13100, 15720, 19650, 26200, 39300

Step-4: Factors of 78605

List of positive integer factors of 78605 that divides 78600 without a remainder.

1, 5, 79, 199, 395, 995, 15721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78600 and 78605. The biggest common factor number is the GCF number.
So the greatest common factor 78600 and 78605 is 5.

Also check out the Least Common Multiple of 78600 and 78605