What is the Greatest Common Factor of 1075 and 1094?

Greatest common factor (GCF) of 1075 and 1094 is 1.

GCF(1075,1094) = 1

We will now calculate the prime factors of 1075 and 1094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1075 and 1094.

How to find the GCF of 1075 and 1094?

We will first find the prime factorization of 1075 and 1094. After we will calculate the factors of 1075 and 1094 and find the biggest common factor number .

Step-1: Prime Factorization of 1075

Prime factors of 1075 are 5, 43. Prime factorization of 1075 in exponential form is:

1075 = 5² × 43¹

Step-2: Prime Factorization of 1094

Prime factors of 1094 are 2, 547. Prime factorization of 1094 in exponential form is:

1094 = 2¹ × 547¹

Step-3: Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1, 5, 25, 43, 215

Step-4: Factors of 1094

List of positive integer factors of 1094 that divides 1075 without a remainder.

1, 2, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1075 and 1094. The biggest common factor number is the GCF number.
So the greatest common factor 1075 and 1094 is 1.

Also check out the Least Common Multiple of 1075 and 1094