What is the Greatest Common Factor of 46142 and 46156?

Greatest common factor (GCF) of 46142 and 46156 is 2.

GCF(46142,46156) = 2

We will now calculate the prime factors of 46142 and 46156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46142 and 46156.

How to find the GCF of 46142 and 46156?

We will first find the prime factorization of 46142 and 46156. After we will calculate the factors of 46142 and 46156 and find the biggest common factor number .

Step-1: Prime Factorization of 46142

Prime factors of 46142 are 2, 23071. Prime factorization of 46142 in exponential form is:

46142 = 2¹ × 23071¹

Step-2: Prime Factorization of 46156

Prime factors of 46156 are 2, 11, 1049. Prime factorization of 46156 in exponential form is:

46156 = 2² × 11¹ × 1049¹

Step-3: Factors of 46142

List of positive integer factors of 46142 that divides 46142 without a remainder.

1, 2, 23071

Step-4: Factors of 46156

List of positive integer factors of 46156 that divides 46142 without a remainder.

1, 2, 4, 11, 22, 44, 1049, 2098, 4196, 11539, 23078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46142 and 46156. The biggest common factor number is the GCF number.
So the greatest common factor 46142 and 46156 is 2.

Also check out the Least Common Multiple of 46142 and 46156