What is the Greatest Common Factor of 77934 and 77954?

Greatest common factor (GCF) of 77934 and 77954 is 2.

GCF(77934,77954) = 2

We will now calculate the prime factors of 77934 and 77954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77934 and 77954.

How to find the GCF of 77934 and 77954?

We will first find the prime factorization of 77934 and 77954. After we will calculate the factors of 77934 and 77954 and find the biggest common factor number .

Step-1: Prime Factorization of 77934

Prime factors of 77934 are 2, 3, 31, 419. Prime factorization of 77934 in exponential form is:

77934 = 2¹ × 3¹ × 31¹ × 419¹

Step-2: Prime Factorization of 77954

Prime factors of 77954 are 2, 38977. Prime factorization of 77954 in exponential form is:

77954 = 2¹ × 38977¹

Step-3: Factors of 77934

List of positive integer factors of 77934 that divides 77934 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 419, 838, 1257, 2514, 12989, 25978, 38967

Step-4: Factors of 77954

List of positive integer factors of 77954 that divides 77934 without a remainder.

1, 2, 38977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77934 and 77954. The biggest common factor number is the GCF number.
So the greatest common factor 77934 and 77954 is 2.

Also check out the Least Common Multiple of 77934 and 77954