What is the Greatest Common Factor of 46704 and 46709?

Greatest common factor (GCF) of 46704 and 46709 is 1.

GCF(46704,46709) = 1

We will now calculate the prime factors of 46704 and 46709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46704 and 46709.

How to find the GCF of 46704 and 46709?

We will first find the prime factorization of 46704 and 46709. After we will calculate the factors of 46704 and 46709 and find the biggest common factor number .

Step-1: Prime Factorization of 46704

Prime factors of 46704 are 2, 3, 7, 139. Prime factorization of 46704 in exponential form is:

46704 = 2⁴ × 3¹ × 7¹ × 139¹

Step-2: Prime Factorization of 46709

Prime factors of 46709 are 13, 3593. Prime factorization of 46709 in exponential form is:

46709 = 13¹ × 3593¹

Step-3: Factors of 46704

List of positive integer factors of 46704 that divides 46704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 139, 168, 278, 336, 417, 556, 834, 973, 1112, 1668, 1946, 2224, 2919, 3336, 3892, 5838, 6672, 7784, 11676, 15568, 23352

Step-4: Factors of 46709

List of positive integer factors of 46709 that divides 46704 without a remainder.

1, 13, 3593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46704 and 46709. The biggest common factor number is the GCF number.
So the greatest common factor 46704 and 46709 is 1.

Also check out the Least Common Multiple of 46704 and 46709