What is the Greatest Common Factor of 91109 and 91120?

Greatest common factor (GCF) of 91109 and 91120 is 1.

GCF(91109,91120) = 1

We will now calculate the prime factors of 91109 and 91120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91109 and 91120.

How to find the GCF of 91109 and 91120?

We will first find the prime factorization of 91109 and 91120. After we will calculate the factors of 91109 and 91120 and find the biggest common factor number .

Step-1: Prime Factorization of 91109

Prime factors of 91109 are 31, 2939. Prime factorization of 91109 in exponential form is:

91109 = 31¹ × 2939¹

Step-2: Prime Factorization of 91120

Prime factors of 91120 are 2, 5, 17, 67. Prime factorization of 91120 in exponential form is:

91120 = 2⁴ × 5¹ × 17¹ × 67¹

Step-3: Factors of 91109

List of positive integer factors of 91109 that divides 91109 without a remainder.

1, 31, 2939

Step-4: Factors of 91120

List of positive integer factors of 91120 that divides 91109 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 67, 68, 80, 85, 134, 136, 170, 268, 272, 335, 340, 536, 670, 680, 1072, 1139, 1340, 1360, 2278, 2680, 4556, 5360, 5695, 9112, 11390, 18224, 22780, 45560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91109 and 91120. The biggest common factor number is the GCF number.
So the greatest common factor 91109 and 91120 is 1.

Also check out the Least Common Multiple of 91109 and 91120