What is the Greatest Common Factor of 77024 and 77030?

Greatest common factor (GCF) of 77024 and 77030 is 2.

GCF(77024,77030) = 2

We will now calculate the prime factors of 77024 and 77030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77024 and 77030.

How to find the GCF of 77024 and 77030?

We will first find the prime factorization of 77024 and 77030. After we will calculate the factors of 77024 and 77030 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77030

Prime factors of 77030 are 2, 5, 7703. Prime factorization of 77030 in exponential form is:

77030 = 2¹ × 5¹ × 7703¹

Step-3: Factors of 77024

List of positive integer factors of 77024 that divides 77024 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

Step-4: Factors of 77030

List of positive integer factors of 77030 that divides 77024 without a remainder.

1, 2, 5, 10, 7703, 15406, 38515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77024 and 77030. The biggest common factor number is the GCF number.
So the greatest common factor 77024 and 77030 is 2.

Also check out the Least Common Multiple of 77024 and 77030