What is the Greatest Common Factor of 76993 and 77007?

Greatest common factor (GCF) of 76993 and 77007 is 7.

GCF(76993,77007) = 7

We will now calculate the prime factors of 76993 and 77007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76993 and 77007.

How to find the GCF of 76993 and 77007?

We will first find the prime factorization of 76993 and 77007. After we will calculate the factors of 76993 and 77007 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 77007

Prime factors of 77007 are 3, 7, 19, 193. Prime factorization of 77007 in exponential form is:

77007 = 3¹ × 7¹ × 19¹ × 193¹

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 77007

List of positive integer factors of 77007 that divides 76993 without a remainder.

1, 3, 7, 19, 21, 57, 133, 193, 399, 579, 1351, 3667, 4053, 11001, 25669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76993 and 77007. The biggest common factor number is the GCF number.
So the greatest common factor 76993 and 77007 is 7.

Also check out the Least Common Multiple of 76993 and 77007