What is the Greatest Common Factor of 1025 and 1037?

Greatest common factor (GCF) of 1025 and 1037 is 1.

GCF(1025,1037) = 1

We will now calculate the prime factors of 1025 and 1037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1025 and 1037.

How to find the GCF of 1025 and 1037?

We will first find the prime factorization of 1025 and 1037. After we will calculate the factors of 1025 and 1037 and find the biggest common factor number .

Step-1: Prime Factorization of 1025

Prime factors of 1025 are 5, 41. Prime factorization of 1025 in exponential form is:

1025 = 5² × 41¹

Step-2: Prime Factorization of 1037

Prime factors of 1037 are 17, 61. Prime factorization of 1037 in exponential form is:

1037 = 17¹ × 61¹

Step-3: Factors of 1025

List of positive integer factors of 1025 that divides 1025 without a remainder.

1, 5, 25, 41, 205

Step-4: Factors of 1037

List of positive integer factors of 1037 that divides 1025 without a remainder.

1, 17, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1025 and 1037. The biggest common factor number is the GCF number.
So the greatest common factor 1025 and 1037 is 1.

Also check out the Least Common Multiple of 1025 and 1037