What is the Greatest Common Factor of 46704 and 46722?

Greatest common factor (GCF) of 46704 and 46722 is 6.

GCF(46704,46722) = 6

We will now calculate the prime factors of 46704 and 46722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46704 and 46722.

How to find the GCF of 46704 and 46722?

We will first find the prime factorization of 46704 and 46722. After we will calculate the factors of 46704 and 46722 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 46722

Prime factors of 46722 are 2, 3, 13, 599. Prime factorization of 46722 in exponential form is:

46722 = 2¹ × 3¹ × 13¹ × 599¹

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 46722

List of positive integer factors of 46722 that divides 46704 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 599, 1198, 1797, 3594, 7787, 15574, 23361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46704 and 46722. The biggest common factor number is the GCF number.
So the greatest common factor 46704 and 46722 is 6.

Also check out the Least Common Multiple of 46704 and 46722