What is the Greatest Common Factor of 46746 and 46757?

Greatest common factor (GCF) of 46746 and 46757 is 1.

GCF(46746,46757) = 1

We will now calculate the prime factors of 46746 and 46757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46746 and 46757.

How to find the GCF of 46746 and 46757?

We will first find the prime factorization of 46746 and 46757. After we will calculate the factors of 46746 and 46757 and find the biggest common factor number .

Step-1: Prime Factorization of 46746

Prime factors of 46746 are 2, 3, 7, 53. Prime factorization of 46746 in exponential form is:

46746 = 2¹ × 3² × 7² × 53¹

Step-2: Prime Factorization of 46757

Prime factors of 46757 are 46757. Prime factorization of 46757 in exponential form is:

46757 = 46757¹

Step-3: Factors of 46746

List of positive integer factors of 46746 that divides 46746 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 53, 63, 98, 106, 126, 147, 159, 294, 318, 371, 441, 477, 742, 882, 954, 1113, 2226, 2597, 3339, 5194, 6678, 7791, 15582, 23373

Step-4: Factors of 46757

List of positive integer factors of 46757 that divides 46746 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46746 and 46757. The biggest common factor number is the GCF number.
So the greatest common factor 46746 and 46757 is 1.

Also check out the Least Common Multiple of 46746 and 46757