What is the Greatest Common Factor of 84600 and 84613?

Greatest common factor (GCF) of 84600 and 84613 is 1.

GCF(84600,84613) = 1

We will now calculate the prime factors of 84600 and 84613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84600 and 84613.

How to find the GCF of 84600 and 84613?

We will first find the prime factorization of 84600 and 84613. After we will calculate the factors of 84600 and 84613 and find the biggest common factor number .

Step-1: Prime Factorization of 84600

Prime factors of 84600 are 2, 3, 5, 47. Prime factorization of 84600 in exponential form is:

84600 = 2³ × 3² × 5² × 47¹

Step-2: Prime Factorization of 84613

Prime factors of 84613 are 191, 443. Prime factorization of 84613 in exponential form is:

84613 = 191¹ × 443¹

Step-3: Factors of 84600

List of positive integer factors of 84600 that divides 84600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 47, 50, 60, 72, 75, 90, 94, 100, 120, 141, 150, 180, 188, 200, 225, 235, 282, 300, 360, 376, 423, 450, 470, 564, 600, 705, 846, 900, 940, 1128, 1175, 1410, 1692, 1800, 1880, 2115, 2350, 2820, 3384, 3525, 4230, 4700, 5640, 7050, 8460, 9400, 10575, 14100, 16920, 21150, 28200, 42300

Step-4: Factors of 84613

List of positive integer factors of 84613 that divides 84600 without a remainder.

1, 191, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84600 and 84613. The biggest common factor number is the GCF number.
So the greatest common factor 84600 and 84613 is 1.

Also check out the Least Common Multiple of 84600 and 84613