What is the Greatest Common Factor of 46137 and 46156?

Greatest common factor (GCF) of 46137 and 46156 is 1.

GCF(46137,46156) = 1

We will now calculate the prime factors of 46137 and 46156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46137 and 46156.

How to find the GCF of 46137 and 46156?

We will first find the prime factorization of 46137 and 46156. After we will calculate the factors of 46137 and 46156 and find the biggest common factor number .

Step-1: Prime Factorization of 46137

Prime factors of 46137 are 3, 7, 13. Prime factorization of 46137 in exponential form is:

46137 = 3¹ × 7¹ × 13³

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 46137

List of positive integer factors of 46137 that divides 46137 without a remainder.

1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 2197, 3549, 6591, 15379

Step-4: Factors of 46156

List of positive integer factors of 46156 that divides 46137 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 46137 and 46156. The biggest common factor number is the GCF number.
So the greatest common factor 46137 and 46156 is 1.

Also check out the Least Common Multiple of 46137 and 46156