What is the Greatest Common Factor of 83768 and 83774?

Greatest common factor (GCF) of 83768 and 83774 is 2.

GCF(83768,83774) = 2

We will now calculate the prime factors of 83768 and 83774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83768 and 83774.

How to find the GCF of 83768 and 83774?

We will first find the prime factorization of 83768 and 83774. After we will calculate the factors of 83768 and 83774 and find the biggest common factor number .

Step-1: Prime Factorization of 83768

Prime factors of 83768 are 2, 37, 283. Prime factorization of 83768 in exponential form is:

83768 = 2³ × 37¹ × 283¹

Step-2: Prime Factorization of 83774

Prime factors of 83774 are 2, 41887. Prime factorization of 83774 in exponential form is:

83774 = 2¹ × 41887¹

Step-3: Factors of 83768

List of positive integer factors of 83768 that divides 83768 without a remainder.

1, 2, 4, 8, 37, 74, 148, 283, 296, 566, 1132, 2264, 10471, 20942, 41884

Step-4: Factors of 83774

List of positive integer factors of 83774 that divides 83768 without a remainder.

1, 2, 41887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83768 and 83774. The biggest common factor number is the GCF number.
So the greatest common factor 83768 and 83774 is 2.

Also check out the Least Common Multiple of 83768 and 83774