What is the Greatest Common Factor of 46132 and 46139?

Greatest common factor (GCF) of 46132 and 46139 is 1.

GCF(46132,46139) = 1

We will now calculate the prime factors of 46132 and 46139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46132 and 46139.

How to find the GCF of 46132 and 46139?

We will first find the prime factorization of 46132 and 46139. After we will calculate the factors of 46132 and 46139 and find the biggest common factor number .

Step-1: Prime Factorization of 46132

Prime factors of 46132 are 2, 19, 607. Prime factorization of 46132 in exponential form is:

46132 = 2² × 19¹ × 607¹

Step-2: Prime Factorization of 46139

Prime factors of 46139 are 29, 37, 43. Prime factorization of 46139 in exponential form is:

46139 = 29¹ × 37¹ × 43¹

Step-3: Factors of 46132

List of positive integer factors of 46132 that divides 46132 without a remainder.

1, 2, 4, 19, 38, 76, 607, 1214, 2428, 11533, 23066

Step-4: Factors of 46139

List of positive integer factors of 46139 that divides 46132 without a remainder.

1, 29, 37, 43, 1073, 1247, 1591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46132 and 46139. The biggest common factor number is the GCF number.
So the greatest common factor 46132 and 46139 is 1.

Also check out the Least Common Multiple of 46132 and 46139