What is the Greatest Common Factor of 1054 and 1059?

Greatest common factor (GCF) of 1054 and 1059 is 1.

GCF(1054,1059) = 1

We will now calculate the prime factors of 1054 and 1059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1054 and 1059.

How to find the GCF of 1054 and 1059?

We will first find the prime factorization of 1054 and 1059. After we will calculate the factors of 1054 and 1059 and find the biggest common factor number .

Step-1: Prime Factorization of 1054

Prime factors of 1054 are 2, 17, 31. Prime factorization of 1054 in exponential form is:

1054 = 2¹ × 17¹ × 31¹

Step-2: Prime Factorization of 1059

Prime factors of 1059 are 3, 353. Prime factorization of 1059 in exponential form is:

1059 = 3¹ × 353¹

Step-3: Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1, 2, 17, 31, 34, 62, 527

Step-4: Factors of 1059

List of positive integer factors of 1059 that divides 1054 without a remainder.

1, 3, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1054 and 1059. The biggest common factor number is the GCF number.
So the greatest common factor 1054 and 1059 is 1.

Also check out the Least Common Multiple of 1054 and 1059