What is the Greatest Common Factor of 97058 and 97071?

Greatest common factor (GCF) of 97058 and 97071 is 13.

GCF(97058,97071) = 13

We will now calculate the prime factors of 97058 and 97071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97058 and 97071.

How to find the GCF of 97058 and 97071?

We will first find the prime factorization of 97058 and 97071. After we will calculate the factors of 97058 and 97071 and find the biggest common factor number .

Step-1: Prime Factorization of 97058

Prime factors of 97058 are 2, 13, 3733. Prime factorization of 97058 in exponential form is:

97058 = 2¹ × 13¹ × 3733¹

Step-2: Prime Factorization of 97071

Prime factors of 97071 are 3, 13, 19, 131. Prime factorization of 97071 in exponential form is:

97071 = 3¹ × 13¹ × 19¹ × 131¹

Step-3: Factors of 97058

List of positive integer factors of 97058 that divides 97058 without a remainder.

1, 2, 13, 26, 3733, 7466, 48529

Step-4: Factors of 97071

List of positive integer factors of 97071 that divides 97058 without a remainder.

1, 3, 13, 19, 39, 57, 131, 247, 393, 741, 1703, 2489, 5109, 7467, 32357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97058 and 97071. The biggest common factor number is the GCF number.
So the greatest common factor 97058 and 97071 is 13.

Also check out the Least Common Multiple of 97058 and 97071