What is the Greatest Common Factor of 35634 and 35640?

Greatest common factor (GCF) of 35634 and 35640 is 6.

GCF(35634,35640) = 6

We will now calculate the prime factors of 35634 and 35640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35634 and 35640.

How to find the GCF of 35634 and 35640?

We will first find the prime factorization of 35634 and 35640. After we will calculate the factors of 35634 and 35640 and find the biggest common factor number .

Step-1: Prime Factorization of 35634

Prime factors of 35634 are 2, 3, 5939. Prime factorization of 35634 in exponential form is:

35634 = 2¹ × 3¹ × 5939¹

Step-2: 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-3: Factors of 35634

List of positive integer factors of 35634 that divides 35634 without a remainder.

1, 2, 3, 6, 5939, 11878, 17817

Step-4: Factors of 35640

List of positive integer factors of 35640 that divides 35634 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35634 and 35640. The biggest common factor number is the GCF number.
So the greatest common factor 35634 and 35640 is 6.

Also check out the Least Common Multiple of 35634 and 35640