What is the Greatest Common Factor of 67249 and 67253?

Greatest common factor (GCF) of 67249 and 67253 is 1.

GCF(67249,67253) = 1

We will now calculate the prime factors of 67249 and 67253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67249 and 67253.

How to find the GCF of 67249 and 67253?

We will first find the prime factorization of 67249 and 67253. After we will calculate the factors of 67249 and 67253 and find the biggest common factor number .

Step-1: Prime Factorization of 67249

Prime factors of 67249 are 7, 13, 739. Prime factorization of 67249 in exponential form is:

67249 = 7¹ × 13¹ × 739¹

Step-2: Prime Factorization of 67253

Prime factors of 67253 are 109, 617. Prime factorization of 67253 in exponential form is:

67253 = 109¹ × 617¹

Step-3: Factors of 67249

List of positive integer factors of 67249 that divides 67249 without a remainder.

1, 7, 13, 91, 739, 5173, 9607

Step-4: Factors of 67253

List of positive integer factors of 67253 that divides 67249 without a remainder.

1, 109, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67249 and 67253. The biggest common factor number is the GCF number.
So the greatest common factor 67249 and 67253 is 1.

Also check out the Least Common Multiple of 67249 and 67253