What is the Greatest Common Factor of 46059 and 46069?

Greatest common factor (GCF) of 46059 and 46069 is 1.

GCF(46059,46069) = 1

We will now calculate the prime factors of 46059 and 46069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46059 and 46069.

How to find the GCF of 46059 and 46069?

We will first find the prime factorization of 46059 and 46069. After we will calculate the factors of 46059 and 46069 and find the biggest common factor number .

Step-1: Prime Factorization of 46059

Prime factors of 46059 are 3, 13, 1181. Prime factorization of 46059 in exponential form is:

46059 = 3¹ × 13¹ × 1181¹

Step-2: Prime Factorization of 46069

Prime factors of 46069 are 23, 2003. Prime factorization of 46069 in exponential form is:

46069 = 23¹ × 2003¹

Step-3: Factors of 46059

List of positive integer factors of 46059 that divides 46059 without a remainder.

1, 3, 13, 39, 1181, 3543, 15353

Step-4: Factors of 46069

List of positive integer factors of 46069 that divides 46059 without a remainder.

1, 23, 2003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46059 and 46069. The biggest common factor number is the GCF number.
So the greatest common factor 46059 and 46069 is 1.

Also check out the Least Common Multiple of 46059 and 46069