What is the Greatest Common Factor of 42630 and 42650?

Greatest common factor (GCF) of 42630 and 42650 is 10.

GCF(42630,42650) = 10

We will now calculate the prime factors of 42630 and 42650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42630 and 42650.

How to find the GCF of 42630 and 42650?

We will first find the prime factorization of 42630 and 42650. After we will calculate the factors of 42630 and 42650 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 42650

Prime factors of 42650 are 2, 5, 853. Prime factorization of 42650 in exponential form is:

42650 = 2¹ × 5² × 853¹

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 42650

List of positive integer factors of 42650 that divides 42630 without a remainder.

1, 2, 5, 10, 25, 50, 853, 1706, 4265, 8530, 21325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42630 and 42650. The biggest common factor number is the GCF number.
So the greatest common factor 42630 and 42650 is 10.

Also check out the Least Common Multiple of 42630 and 42650