What is the Greatest Common Factor of 12029 and 12040?

Greatest common factor (GCF) of 12029 and 12040 is 1.

GCF(12029,12040) = 1

We will now calculate the prime factors of 12029 and 12040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12029 and 12040.

How to find the GCF of 12029 and 12040?

We will first find the prime factorization of 12029 and 12040. After we will calculate the factors of 12029 and 12040 and find the biggest common factor number .

Step-1: Prime Factorization of 12029

Prime factors of 12029 are 23, 523. Prime factorization of 12029 in exponential form is:

12029 = 23¹ × 523¹

Step-2: Prime Factorization of 12040

Prime factors of 12040 are 2, 5, 7, 43. Prime factorization of 12040 in exponential form is:

12040 = 2³ × 5¹ × 7¹ × 43¹

Step-3: Factors of 12029

List of positive integer factors of 12029 that divides 12029 without a remainder.

1, 23, 523

Step-4: Factors of 12040

List of positive integer factors of 12040 that divides 12029 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 43, 56, 70, 86, 140, 172, 215, 280, 301, 344, 430, 602, 860, 1204, 1505, 1720, 2408, 3010, 6020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12029 and 12040. The biggest common factor number is the GCF number.
So the greatest common factor 12029 and 12040 is 1.

Also check out the Least Common Multiple of 12029 and 12040