What is the Greatest Common Factor of 87852 and 87860?

Greatest common factor (GCF) of 87852 and 87860 is 4.

GCF(87852,87860) = 4

We will now calculate the prime factors of 87852 and 87860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87852 and 87860.

How to find the GCF of 87852 and 87860?

We will first find the prime factorization of 87852 and 87860. After we will calculate the factors of 87852 and 87860 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87860

Prime factors of 87860 are 2, 5, 23, 191. Prime factorization of 87860 in exponential form is:

87860 = 2² × 5¹ × 23¹ × 191¹

Step-3: Factors of 87852

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

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

Step-4: Factors of 87860

List of positive integer factors of 87860 that divides 87852 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 191, 230, 382, 460, 764, 955, 1910, 3820, 4393, 8786, 17572, 21965, 43930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87852 and 87860. The biggest common factor number is the GCF number.
So the greatest common factor 87852 and 87860 is 4.

Also check out the Least Common Multiple of 87852 and 87860