What is the Greatest Common Factor of 1298 and 1313?

Greatest common factor (GCF) of 1298 and 1313 is 1.

GCF(1298,1313) = 1

We will now calculate the prime factors of 1298 and 1313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1298 and 1313.

How to find the GCF of 1298 and 1313?

We will first find the prime factorization of 1298 and 1313. After we will calculate the factors of 1298 and 1313 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1313

Prime factors of 1313 are 13, 101. Prime factorization of 1313 in exponential form is:

1313 = 13¹ × 101¹

Step-3: Factors of 1298

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

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

Step-4: Factors of 1313

List of positive integer factors of 1313 that divides 1298 without a remainder.

1, 13, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1298 and 1313. The biggest common factor number is the GCF number.
So the greatest common factor 1298 and 1313 is 1.

Also check out the Least Common Multiple of 1298 and 1313