What is the Greatest Common Factor of 76007 and 76024?

Greatest common factor (GCF) of 76007 and 76024 is 17.

GCF(76007,76024) = 17

We will now calculate the prime factors of 76007 and 76024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76007 and 76024.

How to find the GCF of 76007 and 76024?

We will first find the prime factorization of 76007 and 76024. After we will calculate the factors of 76007 and 76024 and find the biggest common factor number .

Step-1: Prime Factorization of 76007

Prime factors of 76007 are 17, 263. Prime factorization of 76007 in exponential form is:

76007 = 17² × 263¹

Step-2: Prime Factorization of 76024

Prime factors of 76024 are 2, 13, 17, 43. Prime factorization of 76024 in exponential form is:

76024 = 2³ × 13¹ × 17¹ × 43¹

Step-3: Factors of 76007

List of positive integer factors of 76007 that divides 76007 without a remainder.

1, 17, 263, 289, 4471

Step-4: Factors of 76024

List of positive integer factors of 76024 that divides 76007 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 43, 52, 68, 86, 104, 136, 172, 221, 344, 442, 559, 731, 884, 1118, 1462, 1768, 2236, 2924, 4472, 5848, 9503, 19006, 38012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76007 and 76024. The biggest common factor number is the GCF number.
So the greatest common factor 76007 and 76024 is 17.

Also check out the Least Common Multiple of 76007 and 76024