What is the Greatest Common Factor of 83768 and 83783?

Greatest common factor (GCF) of 83768 and 83783 is 1.

GCF(83768,83783) = 1

We will now calculate the prime factors of 83768 and 83783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83768 and 83783.

How to find the GCF of 83768 and 83783?

We will first find the prime factorization of 83768 and 83783. After we will calculate the factors of 83768 and 83783 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 83783

Prime factors of 83783 are 7, 11969. Prime factorization of 83783 in exponential form is:

83783 = 7¹ × 11969¹

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 83783

List of positive integer factors of 83783 that divides 83768 without a remainder.

1, 7, 11969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83768 and 83783. The biggest common factor number is the GCF number.
So the greatest common factor 83768 and 83783 is 1.

Also check out the Least Common Multiple of 83768 and 83783