What is the Greatest Common Factor of 42616 and 42630?

Greatest common factor (GCF) of 42616 and 42630 is 14.

GCF(42616,42630) = 14

We will now calculate the prime factors of 42616 and 42630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42616 and 42630.

How to find the GCF of 42616 and 42630?

We will first find the prime factorization of 42616 and 42630. After we will calculate the factors of 42616 and 42630 and find the biggest common factor number .

Step-1: Prime Factorization of 42616

Prime factors of 42616 are 2, 7, 761. Prime factorization of 42616 in exponential form is:

42616 = 2³ × 7¹ × 761¹

Step-2: 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-3: Factors of 42616

List of positive integer factors of 42616 that divides 42616 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 761, 1522, 3044, 5327, 6088, 10654, 21308

Step-4: Factors of 42630

List of positive integer factors of 42630 that divides 42616 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42616 and 42630. The biggest common factor number is the GCF number.
So the greatest common factor 42616 and 42630 is 14.

Also check out the Least Common Multiple of 42616 and 42630