What is the Greatest Common Factor of 58072 and 58081?

Greatest common factor (GCF) of 58072 and 58081 is 1.

GCF(58072,58081) = 1

We will now calculate the prime factors of 58072 and 58081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58072 and 58081.

How to find the GCF of 58072 and 58081?

We will first find the prime factorization of 58072 and 58081. After we will calculate the factors of 58072 and 58081 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58081

Prime factors of 58081 are 241. Prime factorization of 58081 in exponential form is:

58081 = 241²

Step-3: Factors of 58072

List of positive integer factors of 58072 that divides 58072 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

Step-4: Factors of 58081

List of positive integer factors of 58081 that divides 58072 without a remainder.

1, 241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58072 and 58081. The biggest common factor number is the GCF number.
So the greatest common factor 58072 and 58081 is 1.

Also check out the Least Common Multiple of 58072 and 58081