What is the Greatest Common Factor of 1159 and 1170?

Greatest common factor (GCF) of 1159 and 1170 is 1.

GCF(1159,1170) = 1

We will now calculate the prime factors of 1159 and 1170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1159 and 1170.

How to find the GCF of 1159 and 1170?

We will first find the prime factorization of 1159 and 1170. After we will calculate the factors of 1159 and 1170 and find the biggest common factor number .

Step-1: Prime Factorization of 1159

Prime factors of 1159 are 19, 61. Prime factorization of 1159 in exponential form is:

1159 = 19¹ × 61¹

Step-2: Prime Factorization of 1170

Prime factors of 1170 are 2, 3, 5, 13. Prime factorization of 1170 in exponential form is:

1170 = 2¹ × 3² × 5¹ × 13¹

Step-3: Factors of 1159

List of positive integer factors of 1159 that divides 1159 without a remainder.

1, 19, 61

Step-4: Factors of 1170

List of positive integer factors of 1170 that divides 1159 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1159 and 1170. The biggest common factor number is the GCF number.
So the greatest common factor 1159 and 1170 is 1.

Also check out the Least Common Multiple of 1159 and 1170