What is the Greatest Common Factor of 59046 and 59059?

Greatest common factor (GCF) of 59046 and 59059 is 13.

GCF(59046,59059) = 13

We will now calculate the prime factors of 59046 and 59059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59046 and 59059.

How to find the GCF of 59046 and 59059?

We will first find the prime factorization of 59046 and 59059. After we will calculate the factors of 59046 and 59059 and find the biggest common factor number .

Step-1: Prime Factorization of 59046

Prime factors of 59046 are 2, 3, 13, 757. Prime factorization of 59046 in exponential form is:

59046 = 2¹ × 3¹ × 13¹ × 757¹

Step-2: Prime Factorization of 59059

Prime factors of 59059 are 7, 11, 13, 59. Prime factorization of 59059 in exponential form is:

59059 = 7¹ × 11¹ × 13¹ × 59¹

Step-3: Factors of 59046

List of positive integer factors of 59046 that divides 59046 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 757, 1514, 2271, 4542, 9841, 19682, 29523

Step-4: Factors of 59059

List of positive integer factors of 59059 that divides 59046 without a remainder.

1, 7, 11, 13, 59, 77, 91, 143, 413, 649, 767, 1001, 4543, 5369, 8437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59046 and 59059. The biggest common factor number is the GCF number.
So the greatest common factor 59046 and 59059 is 13.

Also check out the Least Common Multiple of 59046 and 59059