What is the Greatest Common Factor of 1148 and 1159?

Greatest common factor (GCF) of 1148 and 1159 is 1.

GCF(1148,1159) = 1

We will now calculate the prime factors of 1148 and 1159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1148 and 1159.

How to find the GCF of 1148 and 1159?

We will first find the prime factorization of 1148 and 1159. After we will calculate the factors of 1148 and 1159 and find the biggest common factor number .

Step-1: Prime Factorization of 1148

Prime factors of 1148 are 2, 7, 41. Prime factorization of 1148 in exponential form is:

1148 = 2² × 7¹ × 41¹

Step-2: Prime Factorization of 1159

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

1159 = 19¹ × 61¹

Step-3: Factors of 1148

List of positive integer factors of 1148 that divides 1148 without a remainder.

1, 2, 4, 7, 14, 28, 41, 82, 164, 287, 574

Step-4: Factors of 1159

List of positive integer factors of 1159 that divides 1148 without a remainder.

1, 19, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1148 and 1159. The biggest common factor number is the GCF number.
So the greatest common factor 1148 and 1159 is 1.

Also check out the Least Common Multiple of 1148 and 1159