What is the Greatest Common Factor of 35628 and 35640?

Greatest common factor (GCF) of 35628 and 35640 is 12.

GCF(35628,35640) = 12

We will now calculate the prime factors of 35628 and 35640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35628 and 35640.

How to find the GCF of 35628 and 35640?

We will first find the prime factorization of 35628 and 35640. After we will calculate the factors of 35628 and 35640 and find the biggest common factor number .

Step-1: Prime Factorization of 35628

Prime factors of 35628 are 2, 3, 2969. Prime factorization of 35628 in exponential form is:

35628 = 2² × 3¹ × 2969¹

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 35628

List of positive integer factors of 35628 that divides 35628 without a remainder.

1, 2, 3, 4, 6, 12, 2969, 5938, 8907, 11876, 17814

Step-4: Factors of 35640

List of positive integer factors of 35640 that divides 35628 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 35628 and 35640. The biggest common factor number is the GCF number.
So the greatest common factor 35628 and 35640 is 12.

Also check out the Least Common Multiple of 35628 and 35640