What is the Greatest Common Factor of 83320 and 83330?

Greatest common factor (GCF) of 83320 and 83330 is 10.

GCF(83320,83330) = 10

We will now calculate the prime factors of 83320 and 83330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83320 and 83330.

How to find the GCF of 83320 and 83330?

We will first find the prime factorization of 83320 and 83330. After we will calculate the factors of 83320 and 83330 and find the biggest common factor number .

Step-1: Prime Factorization of 83320

Prime factors of 83320 are 2, 5, 2083. Prime factorization of 83320 in exponential form is:

83320 = 2³ × 5¹ × 2083¹

Step-2: Prime Factorization of 83330

Prime factors of 83330 are 2, 5, 13, 641. Prime factorization of 83330 in exponential form is:

83330 = 2¹ × 5¹ × 13¹ × 641¹

Step-3: Factors of 83320

List of positive integer factors of 83320 that divides 83320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2083, 4166, 8332, 10415, 16664, 20830, 41660

Step-4: Factors of 83330

List of positive integer factors of 83330 that divides 83320 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 641, 1282, 3205, 6410, 8333, 16666, 41665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83320 and 83330. The biggest common factor number is the GCF number.
So the greatest common factor 83320 and 83330 is 10.

Also check out the Least Common Multiple of 83320 and 83330