What is the Greatest Common Factor of 35629 and 35640?

Greatest common factor (GCF) of 35629 and 35640 is 11.

GCF(35629,35640) = 11

We will now calculate the prime factors of 35629 and 35640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35629 and 35640.

How to find the GCF of 35629 and 35640?

We will first find the prime factorization of 35629 and 35640. After we will calculate the factors of 35629 and 35640 and find the biggest common factor number .

Step-1: Prime Factorization of 35629

Prime factors of 35629 are 11, 41, 79. Prime factorization of 35629 in exponential form is:

35629 = 11¹ × 41¹ × 79¹

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 35629

List of positive integer factors of 35629 that divides 35629 without a remainder.

1, 11, 41, 79, 451, 869, 3239

Step-4: Factors of 35640

List of positive integer factors of 35640 that divides 35629 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 35629 and 35640. The biggest common factor number is the GCF number.
So the greatest common factor 35629 and 35640 is 11.

Also check out the Least Common Multiple of 35629 and 35640