What is the Greatest Common Factor of 91042 and 91058?

Greatest common factor (GCF) of 91042 and 91058 is 2.

GCF(91042,91058) = 2

We will now calculate the prime factors of 91042 and 91058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91042 and 91058.

How to find the GCF of 91042 and 91058?

We will first find the prime factorization of 91042 and 91058. After we will calculate the factors of 91042 and 91058 and find the biggest common factor number .

Step-1: Prime Factorization of 91042

Prime factors of 91042 are 2, 7, 929. Prime factorization of 91042 in exponential form is:

91042 = 2¹ × 7² × 929¹

Step-2: Prime Factorization of 91058

Prime factors of 91058 are 2, 11, 4139. Prime factorization of 91058 in exponential form is:

91058 = 2¹ × 11¹ × 4139¹

Step-3: Factors of 91042

List of positive integer factors of 91042 that divides 91042 without a remainder.

1, 2, 7, 14, 49, 98, 929, 1858, 6503, 13006, 45521

Step-4: Factors of 91058

List of positive integer factors of 91058 that divides 91042 without a remainder.

1, 2, 11, 22, 4139, 8278, 45529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91042 and 91058. The biggest common factor number is the GCF number.
So the greatest common factor 91042 and 91058 is 2.

Also check out the Least Common Multiple of 91042 and 91058