What is the Greatest Common Factor of 68888 and 68908?

Greatest common factor (GCF) of 68888 and 68908 is 4.

GCF(68888,68908) = 4

We will now calculate the prime factors of 68888 and 68908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68888 and 68908.

How to find the GCF of 68888 and 68908?

We will first find the prime factorization of 68888 and 68908. After we will calculate the factors of 68888 and 68908 and find the biggest common factor number .

Step-1: Prime Factorization of 68888

Prime factors of 68888 are 2, 79, 109. Prime factorization of 68888 in exponential form is:

68888 = 2³ × 79¹ × 109¹

Step-2: Prime Factorization of 68908

Prime factors of 68908 are 2, 7, 23, 107. Prime factorization of 68908 in exponential form is:

68908 = 2² × 7¹ × 23¹ × 107¹

Step-3: Factors of 68888

List of positive integer factors of 68888 that divides 68888 without a remainder.

1, 2, 4, 8, 79, 109, 158, 218, 316, 436, 632, 872, 8611, 17222, 34444

Step-4: Factors of 68908

List of positive integer factors of 68908 that divides 68888 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 107, 161, 214, 322, 428, 644, 749, 1498, 2461, 2996, 4922, 9844, 17227, 34454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68888 and 68908. The biggest common factor number is the GCF number.
So the greatest common factor 68888 and 68908 is 4.

Also check out the Least Common Multiple of 68888 and 68908