What is the Greatest Common Factor of 67098 and 67107?

Greatest common factor (GCF) of 67098 and 67107 is 3.

GCF(67098,67107) = 3

We will now calculate the prime factors of 67098 and 67107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67098 and 67107.

How to find the GCF of 67098 and 67107?

We will first find the prime factorization of 67098 and 67107. After we will calculate the factors of 67098 and 67107 and find the biggest common factor number .

Step-1: Prime Factorization of 67098

Prime factors of 67098 are 2, 3, 53, 211. Prime factorization of 67098 in exponential form is:

67098 = 2¹ × 3¹ × 53¹ × 211¹

Step-2: Prime Factorization of 67107

Prime factors of 67107 are 3, 22369. Prime factorization of 67107 in exponential form is:

67107 = 3¹ × 22369¹

Step-3: Factors of 67098

List of positive integer factors of 67098 that divides 67098 without a remainder.

1, 2, 3, 6, 53, 106, 159, 211, 318, 422, 633, 1266, 11183, 22366, 33549

Step-4: Factors of 67107

List of positive integer factors of 67107 that divides 67098 without a remainder.

1, 3, 22369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67098 and 67107. The biggest common factor number is the GCF number.
So the greatest common factor 67098 and 67107 is 3.

Also check out the Least Common Multiple of 67098 and 67107