What is the Greatest Common Factor of 46116 and 46129?

Greatest common factor (GCF) of 46116 and 46129 is 1.

GCF(46116,46129) = 1

We will now calculate the prime factors of 46116 and 46129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46116 and 46129.

How to find the GCF of 46116 and 46129?

We will first find the prime factorization of 46116 and 46129. After we will calculate the factors of 46116 and 46129 and find the biggest common factor number .

Step-1: Prime Factorization of 46116

Prime factors of 46116 are 2, 3, 7, 61. Prime factorization of 46116 in exponential form is:

46116 = 2² × 3³ × 7¹ × 61¹

Step-2: Prime Factorization of 46129

Prime factors of 46129 are 163, 283. Prime factorization of 46129 in exponential form is:

46129 = 163¹ × 283¹

Step-3: Factors of 46116

List of positive integer factors of 46116 that divides 46116 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 61, 63, 84, 108, 122, 126, 183, 189, 244, 252, 366, 378, 427, 549, 732, 756, 854, 1098, 1281, 1647, 1708, 2196, 2562, 3294, 3843, 5124, 6588, 7686, 11529, 15372, 23058

Step-4: Factors of 46129

List of positive integer factors of 46129 that divides 46116 without a remainder.

1, 163, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46116 and 46129. The biggest common factor number is the GCF number.
So the greatest common factor 46116 and 46129 is 1.

Also check out the Least Common Multiple of 46116 and 46129