What is the Greatest Common Factor of 6040 and 6052?

Greatest common factor (GCF) of 6040 and 6052 is 4.

GCF(6040,6052) = 4

We will now calculate the prime factors of 6040 and 6052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6040 and 6052.

How to find the GCF of 6040 and 6052?

We will first find the prime factorization of 6040 and 6052. After we will calculate the factors of 6040 and 6052 and find the biggest common factor number .

Step-1: Prime Factorization of 6040

Prime factors of 6040 are 2, 5, 151. Prime factorization of 6040 in exponential form is:

6040 = 2³ × 5¹ × 151¹

Step-2: Prime Factorization of 6052

Prime factors of 6052 are 2, 17, 89. Prime factorization of 6052 in exponential form is:

6052 = 2² × 17¹ × 89¹

Step-3: Factors of 6040

List of positive integer factors of 6040 that divides 6040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020

Step-4: Factors of 6052

List of positive integer factors of 6052 that divides 6040 without a remainder.

1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6040 and 6052. The biggest common factor number is the GCF number.
So the greatest common factor 6040 and 6052 is 4.

Also check out the Least Common Multiple of 6040 and 6052