What is the Greatest Common Factor of 42640 and 42655?

Greatest common factor (GCF) of 42640 and 42655 is 5.

GCF(42640,42655) = 5

We will now calculate the prime factors of 42640 and 42655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42640 and 42655.

How to find the GCF of 42640 and 42655?

We will first find the prime factorization of 42640 and 42655. After we will calculate the factors of 42640 and 42655 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 42655

Prime factors of 42655 are 5, 19, 449. Prime factorization of 42655 in exponential form is:

42655 = 5¹ × 19¹ × 449¹

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 42655

List of positive integer factors of 42655 that divides 42640 without a remainder.

1, 5, 19, 95, 449, 2245, 8531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42640 and 42655. The biggest common factor number is the GCF number.
So the greatest common factor 42640 and 42655 is 5.

Also check out the Least Common Multiple of 42640 and 42655