What is the Greatest Common Factor of 87347 and 87363?

Greatest common factor (GCF) of 87347 and 87363 is 1.

GCF(87347,87363) = 1

We will now calculate the prime factors of 87347 and 87363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87347 and 87363.

How to find the GCF of 87347 and 87363?

We will first find the prime factorization of 87347 and 87363. After we will calculate the factors of 87347 and 87363 and find the biggest common factor number .

Step-1: Prime Factorization of 87347

Prime factors of 87347 are 13, 6719. Prime factorization of 87347 in exponential form is:

87347 = 13¹ × 6719¹

Step-2: Prime Factorization of 87363

Prime factors of 87363 are 3, 17, 571. Prime factorization of 87363 in exponential form is:

87363 = 3² × 17¹ × 571¹

Step-3: Factors of 87347

List of positive integer factors of 87347 that divides 87347 without a remainder.

1, 13, 6719

Step-4: Factors of 87363

List of positive integer factors of 87363 that divides 87347 without a remainder.

1, 3, 9, 17, 51, 153, 571, 1713, 5139, 9707, 29121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87347 and 87363. The biggest common factor number is the GCF number.
So the greatest common factor 87347 and 87363 is 1.

Also check out the Least Common Multiple of 87347 and 87363