What is the Greatest Common Factor of 46690 and 46704?

Greatest common factor (GCF) of 46690 and 46704 is 14.

GCF(46690,46704) = 14

We will now calculate the prime factors of 46690 and 46704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46690 and 46704.

How to find the GCF of 46690 and 46704?

We will first find the prime factorization of 46690 and 46704. After we will calculate the factors of 46690 and 46704 and find the biggest common factor number .

Step-1: Prime Factorization of 46690

Prime factors of 46690 are 2, 5, 7, 23, 29. Prime factorization of 46690 in exponential form is:

46690 = 2¹ × 5¹ × 7¹ × 23¹ × 29¹

Step-2: 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-3: Factors of 46690

List of positive integer factors of 46690 that divides 46690 without a remainder.

1, 2, 5, 7, 10, 14, 23, 29, 35, 46, 58, 70, 115, 145, 161, 203, 230, 290, 322, 406, 667, 805, 1015, 1334, 1610, 2030, 3335, 4669, 6670, 9338, 23345

Step-4: Factors of 46704

List of positive integer factors of 46704 that divides 46690 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46690 and 46704. The biggest common factor number is the GCF number.
So the greatest common factor 46690 and 46704 is 14.

Also check out the Least Common Multiple of 46690 and 46704