What is the Greatest Common Factor of 63870 and 63874?

Greatest common factor (GCF) of 63870 and 63874 is 2.

GCF(63870,63874) = 2

We will now calculate the prime factors of 63870 and 63874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63870 and 63874.

How to find the GCF of 63870 and 63874?

We will first find the prime factorization of 63870 and 63874. After we will calculate the factors of 63870 and 63874 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63874

Prime factors of 63874 are 2, 109, 293. Prime factorization of 63874 in exponential form is:

63874 = 2¹ × 109¹ × 293¹

Step-3: Factors of 63870

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

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

Step-4: Factors of 63874

List of positive integer factors of 63874 that divides 63870 without a remainder.

1, 2, 109, 218, 293, 586, 31937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63870 and 63874. The biggest common factor number is the GCF number.
So the greatest common factor 63870 and 63874 is 2.

Also check out the Least Common Multiple of 63870 and 63874