What is the Greatest Common Factor of 87343 and 87362?

Greatest common factor (GCF) of 87343 and 87362 is 19.

GCF(87343,87362) = 19

We will now calculate the prime factors of 87343 and 87362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87343 and 87362.

How to find the GCF of 87343 and 87362?

We will first find the prime factorization of 87343 and 87362. After we will calculate the factors of 87343 and 87362 and find the biggest common factor number .

Step-1: Prime Factorization of 87343

Prime factors of 87343 are 19, 4597. Prime factorization of 87343 in exponential form is:

87343 = 19¹ × 4597¹

Step-2: Prime Factorization of 87362

Prime factors of 87362 are 2, 11, 19. Prime factorization of 87362 in exponential form is:

87362 = 2¹ × 11² × 19²

Step-3: Factors of 87343

List of positive integer factors of 87343 that divides 87343 without a remainder.

1, 19, 4597

Step-4: Factors of 87362

List of positive integer factors of 87362 that divides 87343 without a remainder.

1, 2, 11, 19, 22, 38, 121, 209, 242, 361, 418, 722, 2299, 3971, 4598, 7942, 43681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87343 and 87362. The biggest common factor number is the GCF number.
So the greatest common factor 87343 and 87362 is 19.

Also check out the Least Common Multiple of 87343 and 87362