What is the Greatest Common Factor of 46140 and 46158?

Greatest common factor (GCF) of 46140 and 46158 is 6.

GCF(46140,46158) = 6

We will now calculate the prime factors of 46140 and 46158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46140 and 46158.

How to find the GCF of 46140 and 46158?

We will first find the prime factorization of 46140 and 46158. After we will calculate the factors of 46140 and 46158 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 46158

Prime factors of 46158 are 2, 3, 7, 157. Prime factorization of 46158 in exponential form is:

46158 = 2¹ × 3¹ × 7² × 157¹

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 46158

List of positive integer factors of 46158 that divides 46140 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 157, 294, 314, 471, 942, 1099, 2198, 3297, 6594, 7693, 15386, 23079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46140 and 46158. The biggest common factor number is the GCF number.
So the greatest common factor 46140 and 46158 is 6.

Also check out the Least Common Multiple of 46140 and 46158