What is the Greatest Common Factor of 46758 and 46774?

Greatest common factor (GCF) of 46758 and 46774 is 2.

GCF(46758,46774) = 2

We will now calculate the prime factors of 46758 and 46774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46758 and 46774.

How to find the GCF of 46758 and 46774?

We will first find the prime factorization of 46758 and 46774. After we will calculate the factors of 46758 and 46774 and find the biggest common factor number .

Step-1: Prime Factorization of 46758

Prime factors of 46758 are 2, 3, 7793. Prime factorization of 46758 in exponential form is:

46758 = 2¹ × 3¹ × 7793¹

Step-2: 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-3: Factors of 46758

List of positive integer factors of 46758 that divides 46758 without a remainder.

1, 2, 3, 6, 7793, 15586, 23379

Step-4: Factors of 46774

List of positive integer factors of 46774 that divides 46758 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46758 and 46774. The biggest common factor number is the GCF number.
So the greatest common factor 46758 and 46774 is 2.

Also check out the Least Common Multiple of 46758 and 46774