What is the Greatest Common Factor of 87294 and 87307?

Greatest common factor (GCF) of 87294 and 87307 is 1.

GCF(87294,87307) = 1

We will now calculate the prime factors of 87294 and 87307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87294 and 87307.

How to find the GCF of 87294 and 87307?

We will first find the prime factorization of 87294 and 87307. After we will calculate the factors of 87294 and 87307 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87307

Prime factors of 87307 are 11, 7937. Prime factorization of 87307 in exponential form is:

87307 = 11¹ × 7937¹

Step-3: Factors of 87294

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

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

Step-4: Factors of 87307

List of positive integer factors of 87307 that divides 87294 without a remainder.

1, 11, 7937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87294 and 87307. The biggest common factor number is the GCF number.
So the greatest common factor 87294 and 87307 is 1.

Also check out the Least Common Multiple of 87294 and 87307