What is the Greatest Common Factor of 1190 and 1207?

Greatest common factor (GCF) of 1190 and 1207 is 17.

GCF(1190,1207) = 17

We will now calculate the prime factors of 1190 and 1207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1190 and 1207.

How to find the GCF of 1190 and 1207?

We will first find the prime factorization of 1190 and 1207. After we will calculate the factors of 1190 and 1207 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1207

Prime factors of 1207 are 17, 71. Prime factorization of 1207 in exponential form is:

1207 = 17¹ × 71¹

Step-3: Factors of 1190

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

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

Step-4: Factors of 1207

List of positive integer factors of 1207 that divides 1190 without a remainder.

1, 17, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1190 and 1207. The biggest common factor number is the GCF number.
So the greatest common factor 1190 and 1207 is 17.

Also check out the Least Common Multiple of 1190 and 1207