What is the Greatest Common Factor of 87373 and 87386?

Greatest common factor (GCF) of 87373 and 87386 is 13.

GCF(87373,87386) = 13

We will now calculate the prime factors of 87373 and 87386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87373 and 87386.

How to find the GCF of 87373 and 87386?

We will first find the prime factorization of 87373 and 87386. After we will calculate the factors of 87373 and 87386 and find the biggest common factor number .

Step-1: Prime Factorization of 87373

Prime factors of 87373 are 11, 13, 47. Prime factorization of 87373 in exponential form is:

87373 = 11¹ × 13² × 47¹

Step-2: Prime Factorization of 87386

Prime factors of 87386 are 2, 13, 3361. Prime factorization of 87386 in exponential form is:

87386 = 2¹ × 13¹ × 3361¹

Step-3: Factors of 87373

List of positive integer factors of 87373 that divides 87373 without a remainder.

1, 11, 13, 47, 143, 169, 517, 611, 1859, 6721, 7943

Step-4: Factors of 87386

List of positive integer factors of 87386 that divides 87373 without a remainder.

1, 2, 13, 26, 3361, 6722, 43693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87373 and 87386. The biggest common factor number is the GCF number.
So the greatest common factor 87373 and 87386 is 13.

Also check out the Least Common Multiple of 87373 and 87386