What is the Greatest Common Factor of 79024 and 79030?

Greatest common factor (GCF) of 79024 and 79030 is 2.

GCF(79024,79030) = 2

We will now calculate the prime factors of 79024 and 79030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79024 and 79030.

How to find the GCF of 79024 and 79030?

We will first find the prime factorization of 79024 and 79030. After we will calculate the factors of 79024 and 79030 and find the biggest common factor number .

Step-1: Prime Factorization of 79024

Prime factors of 79024 are 2, 11, 449. Prime factorization of 79024 in exponential form is:

79024 = 2⁴ × 11¹ × 449¹

Step-2: Prime Factorization of 79030

Prime factors of 79030 are 2, 5, 7, 1129. Prime factorization of 79030 in exponential form is:

79030 = 2¹ × 5¹ × 7¹ × 1129¹

Step-3: Factors of 79024

List of positive integer factors of 79024 that divides 79024 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 449, 898, 1796, 3592, 4939, 7184, 9878, 19756, 39512

Step-4: Factors of 79030

List of positive integer factors of 79030 that divides 79024 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1129, 2258, 5645, 7903, 11290, 15806, 39515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79024 and 79030. The biggest common factor number is the GCF number.
So the greatest common factor 79024 and 79030 is 2.

Also check out the Least Common Multiple of 79024 and 79030