What is the Greatest Common Factor of 67108 and 67118?

Greatest common factor (GCF) of 67108 and 67118 is 2.

GCF(67108,67118) = 2

We will now calculate the prime factors of 67108 and 67118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67108 and 67118.

How to find the GCF of 67108 and 67118?

We will first find the prime factorization of 67108 and 67118. After we will calculate the factors of 67108 and 67118 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67118

Prime factors of 67118 are 2, 37, 907. Prime factorization of 67118 in exponential form is:

67118 = 2¹ × 37¹ × 907¹

Step-3: Factors of 67108

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

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

Step-4: Factors of 67118

List of positive integer factors of 67118 that divides 67108 without a remainder.

1, 2, 37, 74, 907, 1814, 33559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67108 and 67118. The biggest common factor number is the GCF number.
So the greatest common factor 67108 and 67118 is 2.

Also check out the Least Common Multiple of 67108 and 67118