What is the Greatest Common Factor of 42625 and 42640?

Greatest common factor (GCF) of 42625 and 42640 is 5.

GCF(42625,42640) = 5

We will now calculate the prime factors of 42625 and 42640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42625 and 42640.

How to find the GCF of 42625 and 42640?

We will first find the prime factorization of 42625 and 42640. After we will calculate the factors of 42625 and 42640 and find the biggest common factor number .

Step-1: Prime Factorization of 42625

Prime factors of 42625 are 5, 11, 31. Prime factorization of 42625 in exponential form is:

42625 = 5³ × 11¹ × 31¹

Step-2: 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-3: Factors of 42625

List of positive integer factors of 42625 that divides 42625 without a remainder.

1, 5, 11, 25, 31, 55, 125, 155, 275, 341, 775, 1375, 1705, 3875, 8525

Step-4: Factors of 42640

List of positive integer factors of 42640 that divides 42625 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42625 and 42640. The biggest common factor number is the GCF number.
So the greatest common factor 42625 and 42640 is 5.

Also check out the Least Common Multiple of 42625 and 42640