GCF and LCM Calculator Logo

What is the Greatest Common Factor of 28072 and 28081?

Greatest common factor (GCF) of 28072 and 28081 is 1.

GCF(28072,28081) = 1

We will now calculate the prime factors of 28072 and 28081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28072 and 28081.

GCF Calculator and
and

How to find the GCF of 28072 and 28081?

We will first find the prime factorization of 28072 and 28081. After we will calculate the factors of 28072 and 28081 and find the biggest common factor number .

Step-1: Prime Factorization of 28072

Prime factors of 28072 are 2, 11, 29. Prime factorization of 28072 in exponential form is:

28072 = 23 × 112 × 291

Step-2: Prime Factorization of 28081

Prime factors of 28081 are 28081. Prime factorization of 28081 in exponential form is:

28081 = 280811

Step-3: Factors of 28072

List of positive integer factors of 28072 that divides 28072 without a remainder.

1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 121, 232, 242, 319, 484, 638, 968, 1276, 2552, 3509, 7018, 14036

Step-4: Factors of 28081

List of positive integer factors of 28081 that divides 28072 without a remainder.

1

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28072 and 28081. The biggest common factor number is the GCF number.
So the greatest common factor 28072 and 28081 is 1.

Also check out the Least Common Multiple of 28072 and 28081