What is the Greatest Common Factor of 46774 and 46781?

Greatest common factor (GCF) of 46774 and 46781 is 7.

GCF(46774,46781) = 7

We will now calculate the prime factors of 46774 and 46781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46774 and 46781.

How to find the GCF of 46774 and 46781?

We will first find the prime factorization of 46774 and 46781. After we will calculate the factors of 46774 and 46781 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 46781

Prime factors of 46781 are 7, 41, 163. Prime factorization of 46781 in exponential form is:

46781 = 7¹ × 41¹ × 163¹

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 46781

List of positive integer factors of 46781 that divides 46774 without a remainder.

1, 7, 41, 163, 287, 1141, 6683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46774 and 46781. The biggest common factor number is the GCF number.
So the greatest common factor 46774 and 46781 is 7.

Also check out the Least Common Multiple of 46774 and 46781