What is the Greatest Common Factor of 63874 and 63885?

Greatest common factor (GCF) of 63874 and 63885 is 1.

GCF(63874,63885) = 1

We will now calculate the prime factors of 63874 and 63885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63874 and 63885.

How to find the GCF of 63874 and 63885?

We will first find the prime factorization of 63874 and 63885. After we will calculate the factors of 63874 and 63885 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63885

Prime factors of 63885 are 3, 5, 4259. Prime factorization of 63885 in exponential form is:

63885 = 3¹ × 5¹ × 4259¹

Step-3: Factors of 63874

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

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

Step-4: Factors of 63885

List of positive integer factors of 63885 that divides 63874 without a remainder.

1, 3, 5, 15, 4259, 12777, 21295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63874 and 63885. The biggest common factor number is the GCF number.
So the greatest common factor 63874 and 63885 is 1.

Also check out the Least Common Multiple of 63874 and 63885