What is the Greatest Common Factor of 1254 and 1259?

Greatest common factor (GCF) of 1254 and 1259 is 1.

GCF(1254,1259) = 1

We will now calculate the prime factors of 1254 and 1259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1254 and 1259.

How to find the GCF of 1254 and 1259?

We will first find the prime factorization of 1254 and 1259. After we will calculate the factors of 1254 and 1259 and find the biggest common factor number .

Step-1: Prime Factorization of 1254

Prime factors of 1254 are 2, 3, 11, 19. Prime factorization of 1254 in exponential form is:

1254 = 2¹ × 3¹ × 11¹ × 19¹

Step-2: Prime Factorization of 1259

Prime factors of 1259 are 1259. Prime factorization of 1259 in exponential form is:

1259 = 1259¹

Step-3: Factors of 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627

Step-4: Factors of 1259

List of positive integer factors of 1259 that divides 1254 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1254 and 1259. The biggest common factor number is the GCF number.
So the greatest common factor 1254 and 1259 is 1.

Also check out the Least Common Multiple of 1254 and 1259