What is the Greatest Common Factor of 1235 and 1249?

Greatest common factor (GCF) of 1235 and 1249 is 1.

GCF(1235,1249) = 1

We will now calculate the prime factors of 1235 and 1249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1235 and 1249.

How to find the GCF of 1235 and 1249?

We will first find the prime factorization of 1235 and 1249. After we will calculate the factors of 1235 and 1249 and find the biggest common factor number .

Step-1: Prime Factorization of 1235

Prime factors of 1235 are 5, 13, 19. Prime factorization of 1235 in exponential form is:

1235 = 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 1249

Prime factors of 1249 are 1249. Prime factorization of 1249 in exponential form is:

1249 = 1249¹

Step-3: Factors of 1235

List of positive integer factors of 1235 that divides 1235 without a remainder.

1, 5, 13, 19, 65, 95, 247

Step-4: Factors of 1249

List of positive integer factors of 1249 that divides 1235 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1235 and 1249. The biggest common factor number is the GCF number.
So the greatest common factor 1235 and 1249 is 1.

Also check out the Least Common Multiple of 1235 and 1249