What is the Greatest Common Factor of 76993 and 77008?

Greatest common factor (GCF) of 76993 and 77008 is 1.

GCF(76993,77008) = 1

We will now calculate the prime factors of 76993 and 77008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76993 and 77008.

How to find the GCF of 76993 and 77008?

We will first find the prime factorization of 76993 and 77008. After we will calculate the factors of 76993 and 77008 and find the biggest common factor number .

Step-1: Prime Factorization of 76993

Prime factors of 76993 are 7, 17, 647. Prime factorization of 76993 in exponential form is:

76993 = 7¹ × 17¹ × 647¹

Step-2: Prime Factorization of 77008

Prime factors of 77008 are 2, 4813. Prime factorization of 77008 in exponential form is:

77008 = 2⁴ × 4813¹

Step-3: Factors of 76993

List of positive integer factors of 76993 that divides 76993 without a remainder.

1, 7, 17, 119, 647, 4529, 10999

Step-4: Factors of 77008

List of positive integer factors of 77008 that divides 76993 without a remainder.

1, 2, 4, 8, 16, 4813, 9626, 19252, 38504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76993 and 77008. The biggest common factor number is the GCF number.
So the greatest common factor 76993 and 77008 is 1.

Also check out the Least Common Multiple of 76993 and 77008