What is the Greatest Common Factor of 46774 and 46783?

Greatest common factor (GCF) of 46774 and 46783 is 1.

GCF(46774,46783) = 1

We will now calculate the prime factors of 46774 and 46783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46774 and 46783.

How to find the GCF of 46774 and 46783?

We will first find the prime factorization of 46774 and 46783. After we will calculate the factors of 46774 and 46783 and find the biggest common factor number .

Step-1: Prime Factorization of 46774

Prime factors of 46774 are 2, 7, 13, 257. Prime factorization of 46774 in exponential form is:

46774 = 2¹ × 7¹ × 13¹ × 257¹

Step-2: Prime Factorization of 46783

Prime factors of 46783 are 11, 4253. Prime factorization of 46783 in exponential form is:

46783 = 11¹ × 4253¹

Step-3: Factors of 46774

List of positive integer factors of 46774 that divides 46774 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 257, 514, 1799, 3341, 3598, 6682, 23387

Step-4: Factors of 46783

List of positive integer factors of 46783 that divides 46774 without a remainder.

1, 11, 4253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46774 and 46783. The biggest common factor number is the GCF number.
So the greatest common factor 46774 and 46783 is 1.

Also check out the Least Common Multiple of 46774 and 46783