What is the Greatest Common Factor of 28049 and 28066?

Greatest common factor (GCF) of 28049 and 28066 is 1.

GCF(28049,28066) = 1

We will now calculate the prime factors of 28049 and 28066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28049 and 28066.

How to find the GCF of 28049 and 28066?

We will first find the prime factorization of 28049 and 28066. After we will calculate the factors of 28049 and 28066 and find the biggest common factor number .

Step-1: Prime Factorization of 28049

Prime factors of 28049 are 7, 4007. Prime factorization of 28049 in exponential form is:

28049 = 7¹ × 4007¹

Step-2: Prime Factorization of 28066

Prime factors of 28066 are 2, 14033. Prime factorization of 28066 in exponential form is:

28066 = 2¹ × 14033¹

Step-3: Factors of 28049

List of positive integer factors of 28049 that divides 28049 without a remainder.

1, 7, 4007

Step-4: Factors of 28066

List of positive integer factors of 28066 that divides 28049 without a remainder.

1, 2, 14033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28049 and 28066. The biggest common factor number is the GCF number.
So the greatest common factor 28049 and 28066 is 1.

Also check out the Least Common Multiple of 28049 and 28066