What is the Greatest Common Factor of 91130 and 91142?

Greatest common factor (GCF) of 91130 and 91142 is 2.

GCF(91130,91142) = 2

We will now calculate the prime factors of 91130 and 91142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91130 and 91142.

How to find the GCF of 91130 and 91142?

We will first find the prime factorization of 91130 and 91142. After we will calculate the factors of 91130 and 91142 and find the biggest common factor number .

Step-1: Prime Factorization of 91130

Prime factors of 91130 are 2, 5, 13, 701. Prime factorization of 91130 in exponential form is:

91130 = 2¹ × 5¹ × 13¹ × 701¹

Step-2: Prime Factorization of 91142

Prime factors of 91142 are 2, 199, 229. Prime factorization of 91142 in exponential form is:

91142 = 2¹ × 199¹ × 229¹

Step-3: Factors of 91130

List of positive integer factors of 91130 that divides 91130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 701, 1402, 3505, 7010, 9113, 18226, 45565

Step-4: Factors of 91142

List of positive integer factors of 91142 that divides 91130 without a remainder.

1, 2, 199, 229, 398, 458, 45571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91130 and 91142. The biggest common factor number is the GCF number.
So the greatest common factor 91130 and 91142 is 2.

Also check out the Least Common Multiple of 91130 and 91142