What is the Greatest Common Factor of 35640 and 35655?

Greatest common factor (GCF) of 35640 and 35655 is 15.

GCF(35640,35655) = 15

We will now calculate the prime factors of 35640 and 35655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35640 and 35655.

How to find the GCF of 35640 and 35655?

We will first find the prime factorization of 35640 and 35655. After we will calculate the factors of 35640 and 35655 and find the biggest common factor number .

Step-1: Prime Factorization of 35640

Prime factors of 35640 are 2, 3, 5, 11. Prime factorization of 35640 in exponential form is:

35640 = 2³ × 3⁴ × 5¹ × 11¹

Step-2: Prime Factorization of 35655

Prime factors of 35655 are 3, 5, 2377. Prime factorization of 35655 in exponential form is:

35655 = 3¹ × 5¹ × 2377¹

Step-3: Factors of 35640

List of positive integer factors of 35640 that divides 35640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 27, 30, 33, 36, 40, 44, 45, 54, 55, 60, 66, 72, 81, 88, 90, 99, 108, 110, 120, 132, 135, 162, 165, 180, 198, 216, 220, 264, 270, 297, 324, 330, 360, 396, 405, 440, 495, 540, 594, 648, 660, 792, 810, 891, 990, 1080, 1188, 1320, 1485, 1620, 1782, 1980, 2376, 2970, 3240, 3564, 3960, 4455, 5940, 7128, 8910, 11880, 17820

Step-4: Factors of 35655

List of positive integer factors of 35655 that divides 35640 without a remainder.

1, 3, 5, 15, 2377, 7131, 11885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35640 and 35655. The biggest common factor number is the GCF number.
So the greatest common factor 35640 and 35655 is 15.

Also check out the Least Common Multiple of 35640 and 35655