What is the Greatest Common Factor of 42630 and 42640?

Greatest common factor (GCF) of 42630 and 42640 is 10.

GCF(42630,42640) = 10

We will now calculate the prime factors of 42630 and 42640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42630 and 42640.

How to find the GCF of 42630 and 42640?

We will first find the prime factorization of 42630 and 42640. After we will calculate the factors of 42630 and 42640 and find the biggest common factor number .

Step-1: Prime Factorization of 42630

Prime factors of 42630 are 2, 3, 5, 7, 29. Prime factorization of 42630 in exponential form is:

42630 = 2¹ × 3¹ × 5¹ × 7² × 29¹

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 42630

List of positive integer factors of 42630 that divides 42630 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 49, 58, 70, 87, 98, 105, 145, 147, 174, 203, 210, 245, 290, 294, 406, 435, 490, 609, 735, 870, 1015, 1218, 1421, 1470, 2030, 2842, 3045, 4263, 6090, 7105, 8526, 14210, 21315

Step-4: Factors of 42640

List of positive integer factors of 42640 that divides 42630 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 42630 and 42640. The biggest common factor number is the GCF number.
So the greatest common factor 42630 and 42640 is 10.

Also check out the Least Common Multiple of 42630 and 42640