What is the Greatest Common Factor of 77938 and 77958?

Greatest common factor (GCF) of 77938 and 77958 is 2.

GCF(77938,77958) = 2

We will now calculate the prime factors of 77938 and 77958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77938 and 77958.

How to find the GCF of 77938 and 77958?

We will first find the prime factorization of 77938 and 77958. After we will calculate the factors of 77938 and 77958 and find the biggest common factor number .

Step-1: Prime Factorization of 77938

Prime factors of 77938 are 2, 7, 19, 293. Prime factorization of 77938 in exponential form is:

77938 = 2¹ × 7¹ × 19¹ × 293¹

Step-2: 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-3: Factors of 77938

List of positive integer factors of 77938 that divides 77938 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 293, 586, 2051, 4102, 5567, 11134, 38969

Step-4: Factors of 77958

List of positive integer factors of 77958 that divides 77938 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77938 and 77958. The biggest common factor number is the GCF number.
So the greatest common factor 77938 and 77958 is 2.

Also check out the Least Common Multiple of 77938 and 77958