What is the Greatest Common Factor of 87278 and 87294?

Greatest common factor (GCF) of 87278 and 87294 is 2.

GCF(87278,87294) = 2

We will now calculate the prime factors of 87278 and 87294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87278 and 87294.

How to find the GCF of 87278 and 87294?

We will first find the prime factorization of 87278 and 87294. After we will calculate the factors of 87278 and 87294 and find the biggest common factor number .

Step-1: Prime Factorization of 87278

Prime factors of 87278 are 2, 17, 151. Prime factorization of 87278 in exponential form is:

87278 = 2¹ × 17² × 151¹

Step-2: Prime Factorization of 87294

Prime factors of 87294 are 2, 3, 14549. Prime factorization of 87294 in exponential form is:

87294 = 2¹ × 3¹ × 14549¹

Step-3: Factors of 87278

List of positive integer factors of 87278 that divides 87278 without a remainder.

1, 2, 17, 34, 151, 289, 302, 578, 2567, 5134, 43639

Step-4: Factors of 87294

List of positive integer factors of 87294 that divides 87278 without a remainder.

1, 2, 3, 6, 14549, 29098, 43647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87278 and 87294. The biggest common factor number is the GCF number.
So the greatest common factor 87278 and 87294 is 2.

Also check out the Least Common Multiple of 87278 and 87294