What is the Greatest Common Factor of 78580 and 78600?

Greatest common factor (GCF) of 78580 and 78600 is 20.

GCF(78580,78600) = 20

We will now calculate the prime factors of 78580 and 78600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78580 and 78600.

How to find the GCF of 78580 and 78600?

We will first find the prime factorization of 78580 and 78600. After we will calculate the factors of 78580 and 78600 and find the biggest common factor number .

Step-1: Prime Factorization of 78580

Prime factors of 78580 are 2, 5, 3929. Prime factorization of 78580 in exponential form is:

78580 = 2² × 5¹ × 3929¹

Step-2: 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-3: Factors of 78580

List of positive integer factors of 78580 that divides 78580 without a remainder.

1, 2, 4, 5, 10, 20, 3929, 7858, 15716, 19645, 39290

Step-4: Factors of 78600

List of positive integer factors of 78600 that divides 78580 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78580 and 78600. The biggest common factor number is the GCF number.
So the greatest common factor 78580 and 78600 is 20.

Also check out the Least Common Multiple of 78580 and 78600