What is the Greatest Common Factor of 79745 and 79760?

Greatest common factor (GCF) of 79745 and 79760 is 5.

GCF(79745,79760) = 5

We will now calculate the prime factors of 79745 and 79760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79745 and 79760.

How to find the GCF of 79745 and 79760?

We will first find the prime factorization of 79745 and 79760. After we will calculate the factors of 79745 and 79760 and find the biggest common factor number .

Step-1: Prime Factorization of 79745

Prime factors of 79745 are 5, 41, 389. Prime factorization of 79745 in exponential form is:

79745 = 5¹ × 41¹ × 389¹

Step-2: Prime Factorization of 79760

Prime factors of 79760 are 2, 5, 997. Prime factorization of 79760 in exponential form is:

79760 = 2⁴ × 5¹ × 997¹

Step-3: Factors of 79745

List of positive integer factors of 79745 that divides 79745 without a remainder.

1, 5, 41, 205, 389, 1945, 15949

Step-4: Factors of 79760

List of positive integer factors of 79760 that divides 79745 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 997, 1994, 3988, 4985, 7976, 9970, 15952, 19940, 39880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79745 and 79760. The biggest common factor number is the GCF number.
So the greatest common factor 79745 and 79760 is 5.

Also check out the Least Common Multiple of 79745 and 79760