What is the Greatest Common Factor of 28049 and 28063?

Greatest common factor (GCF) of 28049 and 28063 is 7.

GCF(28049,28063) = 7

We will now calculate the prime factors of 28049 and 28063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28049 and 28063.

How to find the GCF of 28049 and 28063?

We will first find the prime factorization of 28049 and 28063. After we will calculate the factors of 28049 and 28063 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 28063

Prime factors of 28063 are 7, 19, 211. Prime factorization of 28063 in exponential form is:

28063 = 7¹ × 19¹ × 211¹

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 28063

List of positive integer factors of 28063 that divides 28049 without a remainder.

1, 7, 19, 133, 211, 1477, 4009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28049 and 28063. The biggest common factor number is the GCF number.
So the greatest common factor 28049 and 28063 is 7.

Also check out the Least Common Multiple of 28049 and 28063