What is the Greatest Common Factor of 63852 and 63869?

Greatest common factor (GCF) of 63852 and 63869 is 17.

GCF(63852,63869) = 17

We will now calculate the prime factors of 63852 and 63869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63852 and 63869.

How to find the GCF of 63852 and 63869?

We will first find the prime factorization of 63852 and 63869. After we will calculate the factors of 63852 and 63869 and find the biggest common factor number .

Step-1: Prime Factorization of 63852

Prime factors of 63852 are 2, 3, 17, 313. Prime factorization of 63852 in exponential form is:

63852 = 2² × 3¹ × 17¹ × 313¹

Step-2: Prime Factorization of 63869

Prime factors of 63869 are 13, 17. Prime factorization of 63869 in exponential form is:

63869 = 13¹ × 17³

Step-3: Factors of 63852

List of positive integer factors of 63852 that divides 63852 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 313, 626, 939, 1252, 1878, 3756, 5321, 10642, 15963, 21284, 31926

Step-4: Factors of 63869

List of positive integer factors of 63869 that divides 63852 without a remainder.

1, 13, 17, 221, 289, 3757, 4913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63852 and 63869. The biggest common factor number is the GCF number.
So the greatest common factor 63852 and 63869 is 17.

Also check out the Least Common Multiple of 63852 and 63869