What is the Greatest Common Factor of 58054 and 58072?

Greatest common factor (GCF) of 58054 and 58072 is 2.

GCF(58054,58072) = 2

We will now calculate the prime factors of 58054 and 58072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58054 and 58072.

How to find the GCF of 58054 and 58072?

We will first find the prime factorization of 58054 and 58072. After we will calculate the factors of 58054 and 58072 and find the biggest common factor number .

Step-1: Prime Factorization of 58054

Prime factors of 58054 are 2, 29027. Prime factorization of 58054 in exponential form is:

58054 = 2¹ × 29027¹

Step-2: Prime Factorization of 58072

Prime factors of 58072 are 2, 7, 17, 61. Prime factorization of 58072 in exponential form is:

58072 = 2³ × 7¹ × 17¹ × 61¹

Step-3: Factors of 58054

List of positive integer factors of 58054 that divides 58054 without a remainder.

1, 2, 29027

Step-4: Factors of 58072

List of positive integer factors of 58072 that divides 58054 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 61, 68, 119, 122, 136, 238, 244, 427, 476, 488, 854, 952, 1037, 1708, 2074, 3416, 4148, 7259, 8296, 14518, 29036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58054 and 58072. The biggest common factor number is the GCF number.
So the greatest common factor 58054 and 58072 is 2.

Also check out the Least Common Multiple of 58054 and 58072