What is the Greatest Common Factor of 79760 and 79768?

Greatest common factor (GCF) of 79760 and 79768 is 8.

GCF(79760,79768) = 8

We will now calculate the prime factors of 79760 and 79768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79760 and 79768.

How to find the GCF of 79760 and 79768?

We will first find the prime factorization of 79760 and 79768. After we will calculate the factors of 79760 and 79768 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79768

Prime factors of 79768 are 2, 13, 59. Prime factorization of 79768 in exponential form is:

79768 = 2³ × 13² × 59¹

Step-3: Factors of 79760

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

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

Step-4: Factors of 79768

List of positive integer factors of 79768 that divides 79760 without a remainder.

1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 169, 236, 338, 472, 676, 767, 1352, 1534, 3068, 6136, 9971, 19942, 39884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79760 and 79768. The biggest common factor number is the GCF number.
So the greatest common factor 79760 and 79768 is 8.

Also check out the Least Common Multiple of 79760 and 79768