What is the Greatest Common Factor of 91074 and 91090?

Greatest common factor (GCF) of 91074 and 91090 is 2.

GCF(91074,91090) = 2

We will now calculate the prime factors of 91074 and 91090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91074 and 91090.

How to find the GCF of 91074 and 91090?

We will first find the prime factorization of 91074 and 91090. After we will calculate the factors of 91074 and 91090 and find the biggest common factor number .

Step-1: Prime Factorization of 91074

Prime factors of 91074 are 2, 3, 43, 353. Prime factorization of 91074 in exponential form is:

91074 = 2¹ × 3¹ × 43¹ × 353¹

Step-2: Prime Factorization of 91090

Prime factors of 91090 are 2, 5, 9109. Prime factorization of 91090 in exponential form is:

91090 = 2¹ × 5¹ × 9109¹

Step-3: Factors of 91074

List of positive integer factors of 91074 that divides 91074 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258, 353, 706, 1059, 2118, 15179, 30358, 45537

Step-4: Factors of 91090

List of positive integer factors of 91090 that divides 91074 without a remainder.

1, 2, 5, 10, 9109, 18218, 45545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91074 and 91090. The biggest common factor number is the GCF number.
So the greatest common factor 91074 and 91090 is 2.

Also check out the Least Common Multiple of 91074 and 91090