What is the Greatest Common Factor of 14774 and 14783?

Greatest common factor (GCF) of 14774 and 14783 is 1.

GCF(14774,14783) = 1

We will now calculate the prime factors of 14774 and 14783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14774 and 14783.

How to find the GCF of 14774 and 14783?

We will first find the prime factorization of 14774 and 14783. After we will calculate the factors of 14774 and 14783 and find the biggest common factor number .

Step-1: Prime Factorization of 14774

Prime factors of 14774 are 2, 83, 89. Prime factorization of 14774 in exponential form is:

14774 = 2¹ × 83¹ × 89¹

Step-2: Prime Factorization of 14783

Prime factors of 14783 are 14783. Prime factorization of 14783 in exponential form is:

14783 = 14783¹

Step-3: Factors of 14774

List of positive integer factors of 14774 that divides 14774 without a remainder.

1, 2, 83, 89, 166, 178, 7387

Step-4: Factors of 14783

List of positive integer factors of 14783 that divides 14774 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14774 and 14783. The biggest common factor number is the GCF number.
So the greatest common factor 14774 and 14783 is 1.

Also check out the Least Common Multiple of 14774 and 14783