What is the Greatest Common Factor of 46138 and 46157?

Greatest common factor (GCF) of 46138 and 46157 is 1.

GCF(46138,46157) = 1

We will now calculate the prime factors of 46138 and 46157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46138 and 46157.

How to find the GCF of 46138 and 46157?

We will first find the prime factorization of 46138 and 46157. After we will calculate the factors of 46138 and 46157 and find the biggest common factor number .

Step-1: Prime Factorization of 46138

Prime factors of 46138 are 2, 17, 23, 59. Prime factorization of 46138 in exponential form is:

46138 = 2¹ × 17¹ × 23¹ × 59¹

Step-2: Prime Factorization of 46157

Prime factors of 46157 are 101, 457. Prime factorization of 46157 in exponential form is:

46157 = 101¹ × 457¹

Step-3: Factors of 46138

List of positive integer factors of 46138 that divides 46138 without a remainder.

1, 2, 17, 23, 34, 46, 59, 118, 391, 782, 1003, 1357, 2006, 2714, 23069

Step-4: Factors of 46157

List of positive integer factors of 46157 that divides 46138 without a remainder.

1, 101, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46138 and 46157. The biggest common factor number is the GCF number.
So the greatest common factor 46138 and 46157 is 1.

Also check out the Least Common Multiple of 46138 and 46157