What is the Greatest Common Factor of 83104 and 83120?

Greatest common factor (GCF) of 83104 and 83120 is 16.

GCF(83104,83120) = 16

We will now calculate the prime factors of 83104 and 83120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83104 and 83120.

How to find the GCF of 83104 and 83120?

We will first find the prime factorization of 83104 and 83120. After we will calculate the factors of 83104 and 83120 and find the biggest common factor number .

Step-1: Prime Factorization of 83104

Prime factors of 83104 are 2, 7, 53. Prime factorization of 83104 in exponential form is:

83104 = 2⁵ × 7² × 53¹

Step-2: Prime Factorization of 83120

Prime factors of 83120 are 2, 5, 1039. Prime factorization of 83120 in exponential form is:

83120 = 2⁴ × 5¹ × 1039¹

Step-3: Factors of 83104

List of positive integer factors of 83104 that divides 83104 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 53, 56, 98, 106, 112, 196, 212, 224, 371, 392, 424, 742, 784, 848, 1484, 1568, 1696, 2597, 2968, 5194, 5936, 10388, 11872, 20776, 41552

Step-4: Factors of 83120

List of positive integer factors of 83120 that divides 83104 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1039, 2078, 4156, 5195, 8312, 10390, 16624, 20780, 41560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83104 and 83120. The biggest common factor number is the GCF number.
So the greatest common factor 83104 and 83120 is 16.

Also check out the Least Common Multiple of 83104 and 83120