What is the Greatest Common Factor of 78725 and 78731?

Greatest common factor (GCF) of 78725 and 78731 is 1.

GCF(78725,78731) = 1

We will now calculate the prime factors of 78725 and 78731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78725 and 78731.

How to find the GCF of 78725 and 78731?

We will first find the prime factorization of 78725 and 78731. After we will calculate the factors of 78725 and 78731 and find the biggest common factor number .

Step-1: Prime Factorization of 78725

Prime factors of 78725 are 5, 47, 67. Prime factorization of 78725 in exponential form is:

78725 = 5² × 47¹ × 67¹

Step-2: Prime Factorization of 78731

Prime factors of 78731 are 131, 601. Prime factorization of 78731 in exponential form is:

78731 = 131¹ × 601¹

Step-3: Factors of 78725

List of positive integer factors of 78725 that divides 78725 without a remainder.

1, 5, 25, 47, 67, 235, 335, 1175, 1675, 3149, 15745

Step-4: Factors of 78731

List of positive integer factors of 78731 that divides 78725 without a remainder.

1, 131, 601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78725 and 78731. The biggest common factor number is the GCF number.
So the greatest common factor 78725 and 78731 is 1.

Also check out the Least Common Multiple of 78725 and 78731