What is the Greatest Common Factor of 77914 and 77920?

Greatest common factor (GCF) of 77914 and 77920 is 2.

GCF(77914,77920) = 2

We will now calculate the prime factors of 77914 and 77920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77914 and 77920.

How to find the GCF of 77914 and 77920?

We will first find the prime factorization of 77914 and 77920. After we will calculate the factors of 77914 and 77920 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 77920

Prime factors of 77920 are 2, 5, 487. Prime factorization of 77920 in exponential form is:

77920 = 2⁵ × 5¹ × 487¹

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 77920

List of positive integer factors of 77920 that divides 77914 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 487, 974, 1948, 2435, 3896, 4870, 7792, 9740, 15584, 19480, 38960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77914 and 77920. The biggest common factor number is the GCF number.
So the greatest common factor 77914 and 77920 is 2.

Also check out the Least Common Multiple of 77914 and 77920