What is the Greatest Common Factor of 83084 and 83104?

Greatest common factor (GCF) of 83084 and 83104 is 4.

GCF(83084,83104) = 4

We will now calculate the prime factors of 83084 and 83104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83084 and 83104.

How to find the GCF of 83084 and 83104?

We will first find the prime factorization of 83084 and 83104. After we will calculate the factors of 83084 and 83104 and find the biggest common factor number .

Step-1: Prime Factorization of 83084

Prime factors of 83084 are 2, 20771. Prime factorization of 83084 in exponential form is:

83084 = 2² × 20771¹

Step-2: 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-3: Factors of 83084

List of positive integer factors of 83084 that divides 83084 without a remainder.

1, 2, 4, 20771, 41542

Step-4: Factors of 83104

List of positive integer factors of 83104 that divides 83084 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83084 and 83104. The biggest common factor number is the GCF number.
So the greatest common factor 83084 and 83104 is 4.

Also check out the Least Common Multiple of 83084 and 83104