What is the Greatest Common Factor of 1054 and 1062?

Greatest common factor (GCF) of 1054 and 1062 is 2.

GCF(1054,1062) = 2

We will now calculate the prime factors of 1054 and 1062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1054 and 1062.

How to find the GCF of 1054 and 1062?

We will first find the prime factorization of 1054 and 1062. After we will calculate the factors of 1054 and 1062 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 1062

Prime factors of 1062 are 2, 3, 59. Prime factorization of 1062 in exponential form is:

1062 = 2¹ × 3² × 59¹

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 1062

List of positive integer factors of 1062 that divides 1054 without a remainder.

1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1054 and 1062. The biggest common factor number is the GCF number.
So the greatest common factor 1054 and 1062 is 2.

Also check out the Least Common Multiple of 1054 and 1062