What is the Greatest Common Factor of 46145 and 46156?

Greatest common factor (GCF) of 46145 and 46156 is 11.

GCF(46145,46156) = 11

We will now calculate the prime factors of 46145 and 46156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46145 and 46156.

How to find the GCF of 46145 and 46156?

We will first find the prime factorization of 46145 and 46156. After we will calculate the factors of 46145 and 46156 and find the biggest common factor number .

Step-1: Prime Factorization of 46145

Prime factors of 46145 are 5, 11, 839. Prime factorization of 46145 in exponential form is:

46145 = 5¹ × 11¹ × 839¹

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 46145

List of positive integer factors of 46145 that divides 46145 without a remainder.

1, 5, 11, 55, 839, 4195, 9229

Step-4: Factors of 46156

List of positive integer factors of 46156 that divides 46145 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 46145 and 46156. The biggest common factor number is the GCF number.
So the greatest common factor 46145 and 46156 is 11.

Also check out the Least Common Multiple of 46145 and 46156