What is the Greatest Common Factor of 4029 and 4048?

Greatest common factor (GCF) of 4029 and 4048 is 1.

GCF(4029,4048) = 1

We will now calculate the prime factors of 4029 and 4048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4029 and 4048.

How to find the GCF of 4029 and 4048?

We will first find the prime factorization of 4029 and 4048. After we will calculate the factors of 4029 and 4048 and find the biggest common factor number .

Step-1: Prime Factorization of 4029

Prime factors of 4029 are 3, 17, 79. Prime factorization of 4029 in exponential form is:

4029 = 3¹ × 17¹ × 79¹

Step-2: Prime Factorization of 4048

Prime factors of 4048 are 2, 11, 23. Prime factorization of 4048 in exponential form is:

4048 = 2⁴ × 11¹ × 23¹

Step-3: Factors of 4029

List of positive integer factors of 4029 that divides 4029 without a remainder.

1, 3, 17, 51, 79, 237, 1343

Step-4: Factors of 4048

List of positive integer factors of 4048 that divides 4029 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4029 and 4048. The biggest common factor number is the GCF number.
So the greatest common factor 4029 and 4048 is 1.

Also check out the Least Common Multiple of 4029 and 4048