What is the Greatest Common Factor of 83764 and 83774?

Greatest common factor (GCF) of 83764 and 83774 is 2.

GCF(83764,83774) = 2

We will now calculate the prime factors of 83764 and 83774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83764 and 83774.

How to find the GCF of 83764 and 83774?

We will first find the prime factorization of 83764 and 83774. After we will calculate the factors of 83764 and 83774 and find the biggest common factor number .

Step-1: Prime Factorization of 83764

Prime factors of 83764 are 2, 43, 487. Prime factorization of 83764 in exponential form is:

83764 = 2² × 43¹ × 487¹

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 83764

List of positive integer factors of 83764 that divides 83764 without a remainder.

1, 2, 4, 43, 86, 172, 487, 974, 1948, 20941, 41882

Step-4: Factors of 83774

List of positive integer factors of 83774 that divides 83764 without a remainder.

1, 2, 41887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83764 and 83774. The biggest common factor number is the GCF number.
So the greatest common factor 83764 and 83774 is 2.

Also check out the Least Common Multiple of 83764 and 83774