What is the Greatest Common Factor of 1170 and 1190?

Greatest common factor (GCF) of 1170 and 1190 is 10.

GCF(1170,1190) = 10

We will now calculate the prime factors of 1170 and 1190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1170 and 1190.

How to find the GCF of 1170 and 1190?

We will first find the prime factorization of 1170 and 1190. After we will calculate the factors of 1170 and 1190 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1190

Prime factors of 1190 are 2, 5, 7, 17. Prime factorization of 1190 in exponential form is:

1190 = 2¹ × 5¹ × 7¹ × 17¹

Step-3: Factors of 1170

List of positive integer factors of 1170 that divides 1170 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

Step-4: Factors of 1190

List of positive integer factors of 1190 that divides 1170 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1170 and 1190. The biggest common factor number is the GCF number.
So the greatest common factor 1170 and 1190 is 10.

Also check out the Least Common Multiple of 1170 and 1190