What is the Greatest Common Factor of 91842 and 91862?

Greatest common factor (GCF) of 91842 and 91862 is 2.

GCF(91842,91862) = 2

We will now calculate the prime factors of 91842 and 91862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91842 and 91862.

How to find the GCF of 91842 and 91862?

We will first find the prime factorization of 91842 and 91862. After we will calculate the factors of 91842 and 91862 and find the biggest common factor number .

Step-1: Prime Factorization of 91842

Prime factors of 91842 are 2, 3, 15307. Prime factorization of 91842 in exponential form is:

91842 = 2¹ × 3¹ × 15307¹

Step-2: Prime Factorization of 91862

Prime factors of 91862 are 2, 23, 1997. Prime factorization of 91862 in exponential form is:

91862 = 2¹ × 23¹ × 1997¹

Step-3: Factors of 91842

List of positive integer factors of 91842 that divides 91842 without a remainder.

1, 2, 3, 6, 15307, 30614, 45921

Step-4: Factors of 91862

List of positive integer factors of 91862 that divides 91842 without a remainder.

1, 2, 23, 46, 1997, 3994, 45931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91842 and 91862. The biggest common factor number is the GCF number.
So the greatest common factor 91842 and 91862 is 2.

Also check out the Least Common Multiple of 91842 and 91862