What is the Greatest Common Factor of 77007 and 77024?

Greatest common factor (GCF) of 77007 and 77024 is 1.

GCF(77007,77024) = 1

We will now calculate the prime factors of 77007 and 77024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77007 and 77024.

How to find the GCF of 77007 and 77024?

We will first find the prime factorization of 77007 and 77024. After we will calculate the factors of 77007 and 77024 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77024

Prime factors of 77024 are 2, 29, 83. Prime factorization of 77024 in exponential form is:

77024 = 2⁵ × 29¹ × 83¹

Step-3: Factors of 77007

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

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

Step-4: Factors of 77024

List of positive integer factors of 77024 that divides 77007 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 83, 116, 166, 232, 332, 464, 664, 928, 1328, 2407, 2656, 4814, 9628, 19256, 38512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77007 and 77024. The biggest common factor number is the GCF number.
So the greatest common factor 77007 and 77024 is 1.

Also check out the Least Common Multiple of 77007 and 77024