What is the Greatest Common Factor of 39600 and 39605?

Greatest common factor (GCF) of 39600 and 39605 is 5.

GCF(39600,39605) = 5

We will now calculate the prime factors of 39600 and 39605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39600 and 39605.

How to find the GCF of 39600 and 39605?

We will first find the prime factorization of 39600 and 39605. After we will calculate the factors of 39600 and 39605 and find the biggest common factor number .

Step-1: Prime Factorization of 39600

Prime factors of 39600 are 2, 3, 5, 11. Prime factorization of 39600 in exponential form is:

39600 = 2⁴ × 3² × 5² × 11¹

Step-2: Prime Factorization of 39605

Prime factors of 39605 are 5, 89. Prime factorization of 39605 in exponential form is:

39605 = 5¹ × 89²

Step-3: Factors of 39600

List of positive integer factors of 39600 that divides 39600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 25, 30, 33, 36, 40, 44, 45, 48, 50, 55, 60, 66, 72, 75, 80, 88, 90, 99, 100, 110, 120, 132, 144, 150, 165, 176, 180, 198, 200, 220, 225, 240, 264, 275, 300, 330, 360, 396, 400, 440, 450, 495, 528, 550, 600, 660, 720, 792, 825, 880, 900, 990, 1100, 1200, 1320, 1584, 1650, 1800, 1980, 2200, 2475, 2640, 3300, 3600, 3960, 4400, 4950, 6600, 7920, 9900, 13200, 19800

Step-4: Factors of 39605

List of positive integer factors of 39605 that divides 39600 without a remainder.

1, 5, 89, 445, 7921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39600 and 39605. The biggest common factor number is the GCF number.
So the greatest common factor 39600 and 39605 is 5.

Also check out the Least Common Multiple of 39600 and 39605