What is the Greatest Common Factor of 87834 and 87852?

Greatest common factor (GCF) of 87834 and 87852 is 6.

GCF(87834,87852) = 6

We will now calculate the prime factors of 87834 and 87852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87834 and 87852.

How to find the GCF of 87834 and 87852?

We will first find the prime factorization of 87834 and 87852. After we will calculate the factors of 87834 and 87852 and find the biggest common factor number .

Step-1: Prime Factorization of 87834

Prime factors of 87834 are 2, 3, 14639. Prime factorization of 87834 in exponential form is:

87834 = 2¹ × 3¹ × 14639¹

Step-2: Prime Factorization of 87852

Prime factors of 87852 are 2, 3, 7321. Prime factorization of 87852 in exponential form is:

87852 = 2² × 3¹ × 7321¹

Step-3: Factors of 87834

List of positive integer factors of 87834 that divides 87834 without a remainder.

1, 2, 3, 6, 14639, 29278, 43917

Step-4: Factors of 87852

List of positive integer factors of 87852 that divides 87834 without a remainder.

1, 2, 3, 4, 6, 12, 7321, 14642, 21963, 29284, 43926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87834 and 87852. The biggest common factor number is the GCF number.
So the greatest common factor 87834 and 87852 is 6.

Also check out the Least Common Multiple of 87834 and 87852