What is the Greatest Common Factor of 35622 and 35640?

Greatest common factor (GCF) of 35622 and 35640 is 18.

GCF(35622,35640) = 18

We will now calculate the prime factors of 35622 and 35640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35622 and 35640.

How to find the GCF of 35622 and 35640?

We will first find the prime factorization of 35622 and 35640. After we will calculate the factors of 35622 and 35640 and find the biggest common factor number .

Step-1: Prime Factorization of 35622

Prime factors of 35622 are 2, 3, 1979. Prime factorization of 35622 in exponential form is:

35622 = 2¹ × 3² × 1979¹

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 35622

List of positive integer factors of 35622 that divides 35622 without a remainder.

1, 2, 3, 6, 9, 18, 1979, 3958, 5937, 11874, 17811

Step-4: Factors of 35640

List of positive integer factors of 35640 that divides 35622 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 35622 and 35640. The biggest common factor number is the GCF number.
So the greatest common factor 35622 and 35640 is 18.

Also check out the Least Common Multiple of 35622 and 35640