What is the Greatest Common Factor of 83104 and 83116?

Greatest common factor (GCF) of 83104 and 83116 is 4.

GCF(83104,83116) = 4

We will now calculate the prime factors of 83104 and 83116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83104 and 83116.

How to find the GCF of 83104 and 83116?

We will first find the prime factorization of 83104 and 83116. After we will calculate the factors of 83104 and 83116 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 83116

Prime factors of 83116 are 2, 11, 1889. Prime factorization of 83116 in exponential form is:

83116 = 2² × 11¹ × 1889¹

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 83116

List of positive integer factors of 83116 that divides 83104 without a remainder.

1, 2, 4, 11, 22, 44, 1889, 3778, 7556, 20779, 41558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83104 and 83116. The biggest common factor number is the GCF number.
So the greatest common factor 83104 and 83116 is 4.

Also check out the Least Common Multiple of 83104 and 83116