What is the Greatest Common Factor of 68074 and 68088?

Greatest common factor (GCF) of 68074 and 68088 is 2.

GCF(68074,68088) = 2

We will now calculate the prime factors of 68074 and 68088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68074 and 68088.

How to find the GCF of 68074 and 68088?

We will first find the prime factorization of 68074 and 68088. After we will calculate the factors of 68074 and 68088 and find the biggest common factor number .

Step-1: Prime Factorization of 68074

Prime factors of 68074 are 2, 101, 337. Prime factorization of 68074 in exponential form is:

68074 = 2¹ × 101¹ × 337¹

Step-2: Prime Factorization of 68088

Prime factors of 68088 are 2, 3, 2837. Prime factorization of 68088 in exponential form is:

68088 = 2³ × 3¹ × 2837¹

Step-3: Factors of 68074

List of positive integer factors of 68074 that divides 68074 without a remainder.

1, 2, 101, 202, 337, 674, 34037

Step-4: Factors of 68088

List of positive integer factors of 68088 that divides 68074 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2837, 5674, 8511, 11348, 17022, 22696, 34044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68074 and 68088. The biggest common factor number is the GCF number.
So the greatest common factor 68074 and 68088 is 2.

Also check out the Least Common Multiple of 68074 and 68088