What is the Greatest Common Factor of 28945 and 28962?

Greatest common factor (GCF) of 28945 and 28962 is 1.

GCF(28945,28962) = 1

We will now calculate the prime factors of 28945 and 28962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28945 and 28962.

How to find the GCF of 28945 and 28962?

We will first find the prime factorization of 28945 and 28962. After we will calculate the factors of 28945 and 28962 and find the biggest common factor number .

Step-1: Prime Factorization of 28945

Prime factors of 28945 are 5, 7, 827. Prime factorization of 28945 in exponential form is:

28945 = 5¹ × 7¹ × 827¹

Step-2: Prime Factorization of 28962

Prime factors of 28962 are 2, 3, 1609. Prime factorization of 28962 in exponential form is:

28962 = 2¹ × 3² × 1609¹

Step-3: Factors of 28945

List of positive integer factors of 28945 that divides 28945 without a remainder.

1, 5, 7, 35, 827, 4135, 5789

Step-4: Factors of 28962

List of positive integer factors of 28962 that divides 28945 without a remainder.

1, 2, 3, 6, 9, 18, 1609, 3218, 4827, 9654, 14481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28945 and 28962. The biggest common factor number is the GCF number.
So the greatest common factor 28945 and 28962 is 1.

Also check out the Least Common Multiple of 28945 and 28962