What is the Greatest Common Factor of 63832 and 63852?

Greatest common factor (GCF) of 63832 and 63852 is 4.

GCF(63832,63852) = 4

We will now calculate the prime factors of 63832 and 63852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63832 and 63852.

How to find the GCF of 63832 and 63852?

We will first find the prime factorization of 63832 and 63852. After we will calculate the factors of 63832 and 63852 and find the biggest common factor number .

Step-1: Prime Factorization of 63832

Prime factors of 63832 are 2, 79, 101. Prime factorization of 63832 in exponential form is:

63832 = 2³ × 79¹ × 101¹

Step-2: 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-3: Factors of 63832

List of positive integer factors of 63832 that divides 63832 without a remainder.

1, 2, 4, 8, 79, 101, 158, 202, 316, 404, 632, 808, 7979, 15958, 31916

Step-4: Factors of 63852

List of positive integer factors of 63852 that divides 63832 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63832 and 63852. The biggest common factor number is the GCF number.
So the greatest common factor 63832 and 63852 is 4.

Also check out the Least Common Multiple of 63832 and 63852