What is the Greatest Common Factor of 46148 and 46158?

Greatest common factor (GCF) of 46148 and 46158 is 2.

GCF(46148,46158) = 2

We will now calculate the prime factors of 46148 and 46158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46148 and 46158.

How to find the GCF of 46148 and 46158?

We will first find the prime factorization of 46148 and 46158. After we will calculate the factors of 46148 and 46158 and find the biggest common factor number .

Step-1: Prime Factorization of 46148

Prime factors of 46148 are 2, 83, 139. Prime factorization of 46148 in exponential form is:

46148 = 2² × 83¹ × 139¹

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 46148

List of positive integer factors of 46148 that divides 46148 without a remainder.

1, 2, 4, 83, 139, 166, 278, 332, 556, 11537, 23074

Step-4: Factors of 46158

List of positive integer factors of 46158 that divides 46148 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 46148 and 46158. The biggest common factor number is the GCF number.
So the greatest common factor 46148 and 46158 is 2.

Also check out the Least Common Multiple of 46148 and 46158