What is the Greatest Common Factor of 46138 and 46151?

Greatest common factor (GCF) of 46138 and 46151 is 1.

GCF(46138,46151) = 1

We will now calculate the prime factors of 46138 and 46151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46138 and 46151.

How to find the GCF of 46138 and 46151?

We will first find the prime factorization of 46138 and 46151. After we will calculate the factors of 46138 and 46151 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 46151

Prime factors of 46151 are 7, 19, 347. Prime factorization of 46151 in exponential form is:

46151 = 7¹ × 19¹ × 347¹

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 46151

List of positive integer factors of 46151 that divides 46138 without a remainder.

1, 7, 19, 133, 347, 2429, 6593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46138 and 46151. The biggest common factor number is the GCF number.
So the greatest common factor 46138 and 46151 is 1.

Also check out the Least Common Multiple of 46138 and 46151