What is the Greatest Common Factor of 63858 and 63870?

Greatest common factor (GCF) of 63858 and 63870 is 6.

GCF(63858,63870) = 6

We will now calculate the prime factors of 63858 and 63870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63858 and 63870.

How to find the GCF of 63858 and 63870?

We will first find the prime factorization of 63858 and 63870. After we will calculate the factors of 63858 and 63870 and find the biggest common factor number .

Step-1: Prime Factorization of 63858

Prime factors of 63858 are 2, 3, 29, 367. Prime factorization of 63858 in exponential form is:

63858 = 2¹ × 3¹ × 29¹ × 367¹

Step-2: Prime Factorization of 63870

Prime factors of 63870 are 2, 3, 5, 2129. Prime factorization of 63870 in exponential form is:

63870 = 2¹ × 3¹ × 5¹ × 2129¹

Step-3: Factors of 63858

List of positive integer factors of 63858 that divides 63858 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 367, 734, 1101, 2202, 10643, 21286, 31929

Step-4: Factors of 63870

List of positive integer factors of 63870 that divides 63858 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2129, 4258, 6387, 10645, 12774, 21290, 31935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63858 and 63870. The biggest common factor number is the GCF number.
So the greatest common factor 63858 and 63870 is 6.

Also check out the Least Common Multiple of 63858 and 63870