What is the Greatest Common Factor of 67598 and 67606?

Greatest common factor (GCF) of 67598 and 67606 is 2.

GCF(67598,67606) = 2

We will now calculate the prime factors of 67598 and 67606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67598 and 67606.

How to find the GCF of 67598 and 67606?

We will first find the prime factorization of 67598 and 67606. After we will calculate the factors of 67598 and 67606 and find the biggest common factor number .

Step-1: Prime Factorization of 67598

Prime factors of 67598 are 2, 73, 463. Prime factorization of 67598 in exponential form is:

67598 = 2¹ × 73¹ × 463¹

Step-2: Prime Factorization of 67606

Prime factors of 67606 are 2, 7, 11, 439. Prime factorization of 67606 in exponential form is:

67606 = 2¹ × 7¹ × 11¹ × 439¹

Step-3: Factors of 67598

List of positive integer factors of 67598 that divides 67598 without a remainder.

1, 2, 73, 146, 463, 926, 33799

Step-4: Factors of 67606

List of positive integer factors of 67606 that divides 67598 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 439, 878, 3073, 4829, 6146, 9658, 33803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67598 and 67606. The biggest common factor number is the GCF number.
So the greatest common factor 67598 and 67606 is 2.

Also check out the Least Common Multiple of 67598 and 67606