What is the Greatest Common Factor of 28540 and 28546?

Greatest common factor (GCF) of 28540 and 28546 is 2.

GCF(28540,28546) = 2

We will now calculate the prime factors of 28540 and 28546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28540 and 28546.

How to find the GCF of 28540 and 28546?

We will first find the prime factorization of 28540 and 28546. After we will calculate the factors of 28540 and 28546 and find the biggest common factor number .

Step-1: Prime Factorization of 28540

Prime factors of 28540 are 2, 5, 1427. Prime factorization of 28540 in exponential form is:

28540 = 2² × 5¹ × 1427¹

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 28540

List of positive integer factors of 28540 that divides 28540 without a remainder.

1, 2, 4, 5, 10, 20, 1427, 2854, 5708, 7135, 14270

Step-4: Factors of 28546

List of positive integer factors of 28546 that divides 28540 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28540 and 28546. The biggest common factor number is the GCF number.
So the greatest common factor 28540 and 28546 is 2.

Also check out the Least Common Multiple of 28540 and 28546