What is the Greatest Common Factor of 84370 and 84383?

Greatest common factor (GCF) of 84370 and 84383 is 13.

GCF(84370,84383) = 13

We will now calculate the prime factors of 84370 and 84383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84370 and 84383.

How to find the GCF of 84370 and 84383?

We will first find the prime factorization of 84370 and 84383. After we will calculate the factors of 84370 and 84383 and find the biggest common factor number .

Step-1: Prime Factorization of 84370

Prime factors of 84370 are 2, 5, 11, 13, 59. Prime factorization of 84370 in exponential form is:

84370 = 2¹ × 5¹ × 11¹ × 13¹ × 59¹

Step-2: Prime Factorization of 84383

Prime factors of 84383 are 13, 6491. Prime factorization of 84383 in exponential form is:

84383 = 13¹ × 6491¹

Step-3: Factors of 84370

List of positive integer factors of 84370 that divides 84370 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 59, 65, 110, 118, 130, 143, 286, 295, 590, 649, 715, 767, 1298, 1430, 1534, 3245, 3835, 6490, 7670, 8437, 16874, 42185

Step-4: Factors of 84383

List of positive integer factors of 84383 that divides 84370 without a remainder.

1, 13, 6491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84370 and 84383. The biggest common factor number is the GCF number.
So the greatest common factor 84370 and 84383 is 13.

Also check out the Least Common Multiple of 84370 and 84383