What is the Greatest Common Factor of 77914 and 77928?

Greatest common factor (GCF) of 77914 and 77928 is 2.

GCF(77914,77928) = 2

We will now calculate the prime factors of 77914 and 77928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77914 and 77928.

How to find the GCF of 77914 and 77928?

We will first find the prime factorization of 77914 and 77928. After we will calculate the factors of 77914 and 77928 and find the biggest common factor number .

Step-1: Prime Factorization of 77914

Prime factors of 77914 are 2, 163, 239. Prime factorization of 77914 in exponential form is:

77914 = 2¹ × 163¹ × 239¹

Step-2: Prime Factorization of 77928

Prime factors of 77928 are 2, 3, 17, 191. Prime factorization of 77928 in exponential form is:

77928 = 2³ × 3¹ × 17¹ × 191¹

Step-3: Factors of 77914

List of positive integer factors of 77914 that divides 77914 without a remainder.

1, 2, 163, 239, 326, 478, 38957

Step-4: Factors of 77928

List of positive integer factors of 77928 that divides 77914 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 191, 204, 382, 408, 573, 764, 1146, 1528, 2292, 3247, 4584, 6494, 9741, 12988, 19482, 25976, 38964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77914 and 77928. The biggest common factor number is the GCF number.
So the greatest common factor 77914 and 77928 is 2.

Also check out the Least Common Multiple of 77914 and 77928