What is the Greatest Common Factor of 4046 and 4053?

Greatest common factor (GCF) of 4046 and 4053 is 7.

GCF(4046,4053) = 7

We will now calculate the prime factors of 4046 and 4053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4046 and 4053.

How to find the GCF of 4046 and 4053?

We will first find the prime factorization of 4046 and 4053. After we will calculate the factors of 4046 and 4053 and find the biggest common factor number .

Step-1: Prime Factorization of 4046

Prime factors of 4046 are 2, 7, 17. Prime factorization of 4046 in exponential form is:

4046 = 2¹ × 7¹ × 17²

Step-2: Prime Factorization of 4053

Prime factors of 4053 are 3, 7, 193. Prime factorization of 4053 in exponential form is:

4053 = 3¹ × 7¹ × 193¹

Step-3: Factors of 4046

List of positive integer factors of 4046 that divides 4046 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023

Step-4: Factors of 4053

List of positive integer factors of 4053 that divides 4046 without a remainder.

1, 3, 7, 21, 193, 579, 1351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4046 and 4053. The biggest common factor number is the GCF number.
So the greatest common factor 4046 and 4053 is 7.

Also check out the Least Common Multiple of 4046 and 4053