What is the Greatest Common Factor of 28532 and 28546?

Greatest common factor (GCF) of 28532 and 28546 is 14.

GCF(28532,28546) = 14

We will now calculate the prime factors of 28532 and 28546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28532 and 28546.

How to find the GCF of 28532 and 28546?

We will first find the prime factorization of 28532 and 28546. After we will calculate the factors of 28532 and 28546 and find the biggest common factor number .

Step-1: Prime Factorization of 28532

Prime factors of 28532 are 2, 7, 1019. Prime factorization of 28532 in exponential form is:

28532 = 2² × 7¹ × 1019¹

Step-2: Prime Factorization of 28546

Prime factors of 28546 are 2, 7, 2039. Prime factorization of 28546 in exponential form is:

28546 = 2¹ × 7¹ × 2039¹

Step-3: Factors of 28532

List of positive integer factors of 28532 that divides 28532 without a remainder.

1, 2, 4, 7, 14, 28, 1019, 2038, 4076, 7133, 14266

Step-4: Factors of 28546

List of positive integer factors of 28546 that divides 28532 without a remainder.

1, 2, 7, 14, 2039, 4078, 14273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28532 and 28546. The biggest common factor number is the GCF number.
So the greatest common factor 28532 and 28546 is 14.

Also check out the Least Common Multiple of 28532 and 28546