What is the Greatest Common Factor of 1278 and 1298?

Greatest common factor (GCF) of 1278 and 1298 is 2.

GCF(1278,1298) = 2

We will now calculate the prime factors of 1278 and 1298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1278 and 1298.

How to find the GCF of 1278 and 1298?

We will first find the prime factorization of 1278 and 1298. After we will calculate the factors of 1278 and 1298 and find the biggest common factor number .

Step-1: Prime Factorization of 1278

Prime factors of 1278 are 2, 3, 71. Prime factorization of 1278 in exponential form is:

1278 = 2¹ × 3² × 71¹

Step-2: Prime Factorization of 1298

Prime factors of 1298 are 2, 11, 59. Prime factorization of 1298 in exponential form is:

1298 = 2¹ × 11¹ × 59¹

Step-3: Factors of 1278

List of positive integer factors of 1278 that divides 1278 without a remainder.

1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639

Step-4: Factors of 1298

List of positive integer factors of 1298 that divides 1278 without a remainder.

1, 2, 11, 22, 59, 118, 649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1278 and 1298. The biggest common factor number is the GCF number.
So the greatest common factor 1278 and 1298 is 2.

Also check out the Least Common Multiple of 1278 and 1298