What is the Greatest Common Factor of 1157 and 1170?

Greatest common factor (GCF) of 1157 and 1170 is 13.

GCF(1157,1170) = 13

We will now calculate the prime factors of 1157 and 1170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1157 and 1170.

How to find the GCF of 1157 and 1170?

We will first find the prime factorization of 1157 and 1170. After we will calculate the factors of 1157 and 1170 and find the biggest common factor number .

Step-1: Prime Factorization of 1157

Prime factors of 1157 are 13, 89. Prime factorization of 1157 in exponential form is:

1157 = 13¹ × 89¹

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 1157

List of positive integer factors of 1157 that divides 1157 without a remainder.

1, 13, 89

Step-4: Factors of 1170

List of positive integer factors of 1170 that divides 1157 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 1157 and 1170. The biggest common factor number is the GCF number.
So the greatest common factor 1157 and 1170 is 13.

Also check out the Least Common Multiple of 1157 and 1170