What is the Greatest Common Factor of 78945 and 78958?

Greatest common factor (GCF) of 78945 and 78958 is 1.

GCF(78945,78958) = 1

We will now calculate the prime factors of 78945 and 78958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78945 and 78958.

How to find the GCF of 78945 and 78958?

We will first find the prime factorization of 78945 and 78958. After we will calculate the factors of 78945 and 78958 and find the biggest common factor number .

Step-1: Prime Factorization of 78945

Prime factors of 78945 are 3, 5, 19, 277. Prime factorization of 78945 in exponential form is:

78945 = 3¹ × 5¹ × 19¹ × 277¹

Step-2: Prime Factorization of 78958

Prime factors of 78958 are 2, 11, 37, 97. Prime factorization of 78958 in exponential form is:

78958 = 2¹ × 11¹ × 37¹ × 97¹

Step-3: Factors of 78945

List of positive integer factors of 78945 that divides 78945 without a remainder.

1, 3, 5, 15, 19, 57, 95, 277, 285, 831, 1385, 4155, 5263, 15789, 26315

Step-4: Factors of 78958

List of positive integer factors of 78958 that divides 78945 without a remainder.

1, 2, 11, 22, 37, 74, 97, 194, 407, 814, 1067, 2134, 3589, 7178, 39479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78945 and 78958. The biggest common factor number is the GCF number.
So the greatest common factor 78945 and 78958 is 1.

Also check out the Least Common Multiple of 78945 and 78958