What is the Greatest Common Factor of 67098 and 67108?

Greatest common factor (GCF) of 67098 and 67108 is 2.

GCF(67098,67108) = 2

We will now calculate the prime factors of 67098 and 67108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67098 and 67108.

How to find the GCF of 67098 and 67108?

We will first find the prime factorization of 67098 and 67108. After we will calculate the factors of 67098 and 67108 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 67108

Prime factors of 67108 are 2, 19, 883. Prime factorization of 67108 in exponential form is:

67108 = 2² × 19¹ × 883¹

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 67108

List of positive integer factors of 67108 that divides 67098 without a remainder.

1, 2, 4, 19, 38, 76, 883, 1766, 3532, 16777, 33554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67098 and 67108. The biggest common factor number is the GCF number.
So the greatest common factor 67098 and 67108 is 2.

Also check out the Least Common Multiple of 67098 and 67108