What is the Greatest Common Factor of 78958 and 78969?

Greatest common factor (GCF) of 78958 and 78969 is 11.

GCF(78958,78969) = 11

We will now calculate the prime factors of 78958 and 78969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78958 and 78969.

How to find the GCF of 78958 and 78969?

We will first find the prime factorization of 78958 and 78969. After we will calculate the factors of 78958 and 78969 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 78969

Prime factors of 78969 are 3, 11, 2393. Prime factorization of 78969 in exponential form is:

78969 = 3¹ × 11¹ × 2393¹

Step-3: Factors of 78958

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

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

Step-4: Factors of 78969

List of positive integer factors of 78969 that divides 78958 without a remainder.

1, 3, 11, 33, 2393, 7179, 26323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78958 and 78969. The biggest common factor number is the GCF number.
So the greatest common factor 78958 and 78969 is 11.

Also check out the Least Common Multiple of 78958 and 78969