What is the Greatest Common Factor of 35640 and 35653?

Greatest common factor (GCF) of 35640 and 35653 is 1.

GCF(35640,35653) = 1

We will now calculate the prime factors of 35640 and 35653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35640 and 35653.

How to find the GCF of 35640 and 35653?

We will first find the prime factorization of 35640 and 35653. After we will calculate the factors of 35640 and 35653 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 35653

Prime factors of 35653 are 101, 353. Prime factorization of 35653 in exponential form is:

35653 = 101¹ × 353¹

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 35653

List of positive integer factors of 35653 that divides 35640 without a remainder.

1, 101, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35640 and 35653. The biggest common factor number is the GCF number.
So the greatest common factor 35640 and 35653 is 1.

Also check out the Least Common Multiple of 35640 and 35653