What is the Greatest Common Factor of 46140 and 46159?

Greatest common factor (GCF) of 46140 and 46159 is 1.

GCF(46140,46159) = 1

We will now calculate the prime factors of 46140 and 46159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46140 and 46159.

How to find the GCF of 46140 and 46159?

We will first find the prime factorization of 46140 and 46159. After we will calculate the factors of 46140 and 46159 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 46159

Prime factors of 46159 are 31, 1489. Prime factorization of 46159 in exponential form is:

46159 = 31¹ × 1489¹

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 46159

List of positive integer factors of 46159 that divides 46140 without a remainder.

1, 31, 1489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46140 and 46159. The biggest common factor number is the GCF number.
So the greatest common factor 46140 and 46159 is 1.

Also check out the Least Common Multiple of 46140 and 46159