What is the Greatest Common Factor of 38832 and 38852?

Greatest common factor (GCF) of 38832 and 38852 is 4.

GCF(38832,38852) = 4

We will now calculate the prime factors of 38832 and 38852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38832 and 38852.

How to find the GCF of 38832 and 38852?

We will first find the prime factorization of 38832 and 38852. After we will calculate the factors of 38832 and 38852 and find the biggest common factor number .

Step-1: Prime Factorization of 38832

Prime factors of 38832 are 2, 3, 809. Prime factorization of 38832 in exponential form is:

38832 = 2⁴ × 3¹ × 809¹

Step-2: Prime Factorization of 38852

Prime factors of 38852 are 2, 11, 883. Prime factorization of 38852 in exponential form is:

38852 = 2² × 11¹ × 883¹

Step-3: Factors of 38832

List of positive integer factors of 38832 that divides 38832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 809, 1618, 2427, 3236, 4854, 6472, 9708, 12944, 19416

Step-4: Factors of 38852

List of positive integer factors of 38852 that divides 38832 without a remainder.

1, 2, 4, 11, 22, 44, 883, 1766, 3532, 9713, 19426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38832 and 38852. The biggest common factor number is the GCF number.
So the greatest common factor 38832 and 38852 is 4.

Also check out the Least Common Multiple of 38832 and 38852