What is the Greatest Common Factor of 42640 and 42653?

Greatest common factor (GCF) of 42640 and 42653 is 13.

GCF(42640,42653) = 13

We will now calculate the prime factors of 42640 and 42653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42640 and 42653.

How to find the GCF of 42640 and 42653?

We will first find the prime factorization of 42640 and 42653. After we will calculate the factors of 42640 and 42653 and find the biggest common factor number .

Step-1: Prime Factorization of 42640

Prime factors of 42640 are 2, 5, 13, 41. Prime factorization of 42640 in exponential form is:

42640 = 2⁴ × 5¹ × 13¹ × 41¹

Step-2: Prime Factorization of 42653

Prime factors of 42653 are 13, 17, 193. Prime factorization of 42653 in exponential form is:

42653 = 13¹ × 17¹ × 193¹

Step-3: Factors of 42640

List of positive integer factors of 42640 that divides 42640 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 41, 52, 65, 80, 82, 104, 130, 164, 205, 208, 260, 328, 410, 520, 533, 656, 820, 1040, 1066, 1640, 2132, 2665, 3280, 4264, 5330, 8528, 10660, 21320

Step-4: Factors of 42653

List of positive integer factors of 42653 that divides 42640 without a remainder.

1, 13, 17, 193, 221, 2509, 3281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42640 and 42653. The biggest common factor number is the GCF number.
So the greatest common factor 42640 and 42653 is 13.

Also check out the Least Common Multiple of 42640 and 42653