What is the Greatest Common Factor of 46739 and 46744?

Greatest common factor (GCF) of 46739 and 46744 is 1.

GCF(46739,46744) = 1

We will now calculate the prime factors of 46739 and 46744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46739 and 46744.

How to find the GCF of 46739 and 46744?

We will first find the prime factorization of 46739 and 46744. After we will calculate the factors of 46739 and 46744 and find the biggest common factor number .

Step-1: Prime Factorization of 46739

Prime factors of 46739 are 7, 11, 607. Prime factorization of 46739 in exponential form is:

46739 = 7¹ × 11¹ × 607¹

Step-2: Prime Factorization of 46744

Prime factors of 46744 are 2, 5843. Prime factorization of 46744 in exponential form is:

46744 = 2³ × 5843¹

Step-3: Factors of 46739

List of positive integer factors of 46739 that divides 46739 without a remainder.

1, 7, 11, 77, 607, 4249, 6677

Step-4: Factors of 46744

List of positive integer factors of 46744 that divides 46739 without a remainder.

1, 2, 4, 8, 5843, 11686, 23372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46739 and 46744. The biggest common factor number is the GCF number.
So the greatest common factor 46739 and 46744 is 1.

Also check out the Least Common Multiple of 46739 and 46744