What is the Greatest Common Factor of 83594 and 83608?

Greatest common factor (GCF) of 83594 and 83608 is 14.

GCF(83594,83608) = 14

We will now calculate the prime factors of 83594 and 83608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83594 and 83608.

How to find the GCF of 83594 and 83608?

We will first find the prime factorization of 83594 and 83608. After we will calculate the factors of 83594 and 83608 and find the biggest common factor number .

Step-1: Prime Factorization of 83594

Prime factors of 83594 are 2, 7, 853. Prime factorization of 83594 in exponential form is:

83594 = 2¹ × 7² × 853¹

Step-2: Prime Factorization of 83608

Prime factors of 83608 are 2, 7, 1493. Prime factorization of 83608 in exponential form is:

83608 = 2³ × 7¹ × 1493¹

Step-3: Factors of 83594

List of positive integer factors of 83594 that divides 83594 without a remainder.

1, 2, 7, 14, 49, 98, 853, 1706, 5971, 11942, 41797

Step-4: Factors of 83608

List of positive integer factors of 83608 that divides 83594 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1493, 2986, 5972, 10451, 11944, 20902, 41804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83594 and 83608. The biggest common factor number is the GCF number.
So the greatest common factor 83594 and 83608 is 14.

Also check out the Least Common Multiple of 83594 and 83608