What is the Greatest Common Factor of 87249 and 87258?

Greatest common factor (GCF) of 87249 and 87258 is 3.

GCF(87249,87258) = 3

We will now calculate the prime factors of 87249 and 87258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87249 and 87258.

How to find the GCF of 87249 and 87258?

We will first find the prime factorization of 87249 and 87258. After we will calculate the factors of 87249 and 87258 and find the biggest common factor number .

Step-1: Prime Factorization of 87249

Prime factors of 87249 are 3, 127, 229. Prime factorization of 87249 in exponential form is:

87249 = 3¹ × 127¹ × 229¹

Step-2: Prime Factorization of 87258

Prime factors of 87258 are 2, 3, 14543. Prime factorization of 87258 in exponential form is:

87258 = 2¹ × 3¹ × 14543¹

Step-3: Factors of 87249

List of positive integer factors of 87249 that divides 87249 without a remainder.

1, 3, 127, 229, 381, 687, 29083

Step-4: Factors of 87258

List of positive integer factors of 87258 that divides 87249 without a remainder.

1, 2, 3, 6, 14543, 29086, 43629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87249 and 87258. The biggest common factor number is the GCF number.
So the greatest common factor 87249 and 87258 is 3.

Also check out the Least Common Multiple of 87249 and 87258