What is the Greatest Common Factor of 46774 and 46787?

Greatest common factor (GCF) of 46774 and 46787 is 13.

GCF(46774,46787) = 13

We will now calculate the prime factors of 46774 and 46787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46774 and 46787.

How to find the GCF of 46774 and 46787?

We will first find the prime factorization of 46774 and 46787. After we will calculate the factors of 46774 and 46787 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 46787

Prime factors of 46787 are 13, 59, 61. Prime factorization of 46787 in exponential form is:

46787 = 13¹ × 59¹ × 61¹

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 46787

List of positive integer factors of 46787 that divides 46774 without a remainder.

1, 13, 59, 61, 767, 793, 3599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46774 and 46787. The biggest common factor number is the GCF number.
So the greatest common factor 46774 and 46787 is 13.

Also check out the Least Common Multiple of 46774 and 46787