What is the Greatest Common Factor of 87153 and 87159?

Greatest common factor (GCF) of 87153 and 87159 is 3.

GCF(87153,87159) = 3

We will now calculate the prime factors of 87153 and 87159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87153 and 87159.

How to find the GCF of 87153 and 87159?

We will first find the prime factorization of 87153 and 87159. After we will calculate the factors of 87153 and 87159 and find the biggest common factor number .

Step-1: Prime Factorization of 87153

Prime factors of 87153 are 3, 11, 19, 139. Prime factorization of 87153 in exponential form is:

87153 = 3¹ × 11¹ × 19¹ × 139¹

Step-2: Prime Factorization of 87159

Prime factors of 87159 are 3, 17, 1709. Prime factorization of 87159 in exponential form is:

87159 = 3¹ × 17¹ × 1709¹

Step-3: Factors of 87153

List of positive integer factors of 87153 that divides 87153 without a remainder.

1, 3, 11, 19, 33, 57, 139, 209, 417, 627, 1529, 2641, 4587, 7923, 29051

Step-4: Factors of 87159

List of positive integer factors of 87159 that divides 87153 without a remainder.

1, 3, 17, 51, 1709, 5127, 29053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87153 and 87159. The biggest common factor number is the GCF number.
So the greatest common factor 87153 and 87159 is 3.

Also check out the Least Common Multiple of 87153 and 87159