What is the Greatest Common Factor of 78739 and 78758?

Greatest common factor (GCF) of 78739 and 78758 is 1.

GCF(78739,78758) = 1

We will now calculate the prime factors of 78739 and 78758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78739 and 78758.

How to find the GCF of 78739 and 78758?

We will first find the prime factorization of 78739 and 78758. After we will calculate the factors of 78739 and 78758 and find the biggest common factor number .

Step-1: Prime Factorization of 78739

Prime factors of 78739 are 71, 1109. Prime factorization of 78739 in exponential form is:

78739 = 71¹ × 1109¹

Step-2: Prime Factorization of 78758

Prime factors of 78758 are 2, 53, 743. Prime factorization of 78758 in exponential form is:

78758 = 2¹ × 53¹ × 743¹

Step-3: Factors of 78739

List of positive integer factors of 78739 that divides 78739 without a remainder.

1, 71, 1109

Step-4: Factors of 78758

List of positive integer factors of 78758 that divides 78739 without a remainder.

1, 2, 53, 106, 743, 1486, 39379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78739 and 78758. The biggest common factor number is the GCF number.
So the greatest common factor 78739 and 78758 is 1.

Also check out the Least Common Multiple of 78739 and 78758