What is the Greatest Common Factor of 46749 and 46767?

Greatest common factor (GCF) of 46749 and 46767 is 3.

GCF(46749,46767) = 3

We will now calculate the prime factors of 46749 and 46767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46749 and 46767.

How to find the GCF of 46749 and 46767?

We will first find the prime factorization of 46749 and 46767. After we will calculate the factors of 46749 and 46767 and find the biggest common factor number .

Step-1: Prime Factorization of 46749

Prime factors of 46749 are 3, 15583. Prime factorization of 46749 in exponential form is:

46749 = 3¹ × 15583¹

Step-2: Prime Factorization of 46767

Prime factors of 46767 are 3, 7, 17, 131. Prime factorization of 46767 in exponential form is:

46767 = 3¹ × 7¹ × 17¹ × 131¹

Step-3: Factors of 46749

List of positive integer factors of 46749 that divides 46749 without a remainder.

1, 3, 15583

Step-4: Factors of 46767

List of positive integer factors of 46767 that divides 46749 without a remainder.

1, 3, 7, 17, 21, 51, 119, 131, 357, 393, 917, 2227, 2751, 6681, 15589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46749 and 46767. The biggest common factor number is the GCF number.
So the greatest common factor 46749 and 46767 is 3.

Also check out the Least Common Multiple of 46749 and 46767