What is the Greatest Common Factor of 67657 and 67676?

Greatest common factor (GCF) of 67657 and 67676 is 1.

GCF(67657,67676) = 1

We will now calculate the prime factors of 67657 and 67676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67657 and 67676.

How to find the GCF of 67657 and 67676?

We will first find the prime factorization of 67657 and 67676. After we will calculate the factors of 67657 and 67676 and find the biggest common factor number .

Step-1: Prime Factorization of 67657

Prime factors of 67657 are 29, 2333. Prime factorization of 67657 in exponential form is:

67657 = 29¹ × 2333¹

Step-2: Prime Factorization of 67676

Prime factors of 67676 are 2, 7, 2417. Prime factorization of 67676 in exponential form is:

67676 = 2² × 7¹ × 2417¹

Step-3: Factors of 67657

List of positive integer factors of 67657 that divides 67657 without a remainder.

1, 29, 2333

Step-4: Factors of 67676

List of positive integer factors of 67676 that divides 67657 without a remainder.

1, 2, 4, 7, 14, 28, 2417, 4834, 9668, 16919, 33838

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67657 and 67676. The biggest common factor number is the GCF number.
So the greatest common factor 67657 and 67676 is 1.

Also check out the Least Common Multiple of 67657 and 67676