What is the Greatest Common Factor of 77958 and 77977?

Greatest common factor (GCF) of 77958 and 77977 is 1.

GCF(77958,77977) = 1

We will now calculate the prime factors of 77958 and 77977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77958 and 77977.

How to find the GCF of 77958 and 77977?

We will first find the prime factorization of 77958 and 77977. After we will calculate the factors of 77958 and 77977 and find the biggest common factor number .

Step-1: Prime Factorization of 77958

Prime factors of 77958 are 2, 3, 61, 71. Prime factorization of 77958 in exponential form is:

77958 = 2¹ × 3² × 61¹ × 71¹

Step-2: Prime Factorization of 77977

Prime factors of 77977 are 77977. Prime factorization of 77977 in exponential form is:

77977 = 77977¹

Step-3: Factors of 77958

List of positive integer factors of 77958 that divides 77958 without a remainder.

1, 2, 3, 6, 9, 18, 61, 71, 122, 142, 183, 213, 366, 426, 549, 639, 1098, 1278, 4331, 8662, 12993, 25986, 38979

Step-4: Factors of 77977

List of positive integer factors of 77977 that divides 77958 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77958 and 77977. The biggest common factor number is the GCF number.
So the greatest common factor 77958 and 77977 is 1.

Also check out the Least Common Multiple of 77958 and 77977