What is the Greatest Common Factor of 46140 and 46149?

Greatest common factor (GCF) of 46140 and 46149 is 3.

GCF(46140,46149) = 3

We will now calculate the prime factors of 46140 and 46149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46140 and 46149.

How to find the GCF of 46140 and 46149?

We will first find the prime factorization of 46140 and 46149. After we will calculate the factors of 46140 and 46149 and find the biggest common factor number .

Step-1: Prime Factorization of 46140

Prime factors of 46140 are 2, 3, 5, 769. Prime factorization of 46140 in exponential form is:

46140 = 2² × 3¹ × 5¹ × 769¹

Step-2: Prime Factorization of 46149

Prime factors of 46149 are 3, 15383. Prime factorization of 46149 in exponential form is:

46149 = 3¹ × 15383¹

Step-3: Factors of 46140

List of positive integer factors of 46140 that divides 46140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 769, 1538, 2307, 3076, 3845, 4614, 7690, 9228, 11535, 15380, 23070

Step-4: Factors of 46149

List of positive integer factors of 46149 that divides 46140 without a remainder.

1, 3, 15383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46140 and 46149. The biggest common factor number is the GCF number.
So the greatest common factor 46140 and 46149 is 3.

Also check out the Least Common Multiple of 46140 and 46149