What is the Greatest Common Factor of 28035 and 28054?

Greatest common factor (GCF) of 28035 and 28054 is 1.

GCF(28035,28054) = 1

We will now calculate the prime factors of 28035 and 28054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28035 and 28054.

How to find the GCF of 28035 and 28054?

We will first find the prime factorization of 28035 and 28054. After we will calculate the factors of 28035 and 28054 and find the biggest common factor number .

Step-1: Prime Factorization of 28035

Prime factors of 28035 are 3, 5, 7, 89. Prime factorization of 28035 in exponential form is:

28035 = 3² × 5¹ × 7¹ × 89¹

Step-2: Prime Factorization of 28054

Prime factors of 28054 are 2, 13, 83. Prime factorization of 28054 in exponential form is:

28054 = 2¹ × 13² × 83¹

Step-3: Factors of 28035

List of positive integer factors of 28035 that divides 28035 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 89, 105, 267, 315, 445, 623, 801, 1335, 1869, 3115, 4005, 5607, 9345

Step-4: Factors of 28054

List of positive integer factors of 28054 that divides 28035 without a remainder.

1, 2, 13, 26, 83, 166, 169, 338, 1079, 2158, 14027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28035 and 28054. The biggest common factor number is the GCF number.
So the greatest common factor 28035 and 28054 is 1.

Also check out the Least Common Multiple of 28035 and 28054