What is the Greatest Common Factor of 76024 and 76040?

Greatest common factor (GCF) of 76024 and 76040 is 8.

GCF(76024,76040) = 8

We will now calculate the prime factors of 76024 and 76040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76024 and 76040.

How to find the GCF of 76024 and 76040?

We will first find the prime factorization of 76024 and 76040. After we will calculate the factors of 76024 and 76040 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76040

Prime factors of 76040 are 2, 5, 1901. Prime factorization of 76040 in exponential form is:

76040 = 2³ × 5¹ × 1901¹

Step-3: Factors of 76024

List of positive integer factors of 76024 that divides 76024 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

Step-4: Factors of 76040

List of positive integer factors of 76040 that divides 76024 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1901, 3802, 7604, 9505, 15208, 19010, 38020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76024 and 76040. The biggest common factor number is the GCF number.
So the greatest common factor 76024 and 76040 is 8.

Also check out the Least Common Multiple of 76024 and 76040