What is the Greatest Common Factor of 28534 and 28542?

Greatest common factor (GCF) of 28534 and 28542 is 2.

GCF(28534,28542) = 2

We will now calculate the prime factors of 28534 and 28542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28534 and 28542.

How to find the GCF of 28534 and 28542?

We will first find the prime factorization of 28534 and 28542. After we will calculate the factors of 28534 and 28542 and find the biggest common factor number .

Step-1: Prime Factorization of 28534

Prime factors of 28534 are 2, 11, 1297. Prime factorization of 28534 in exponential form is:

28534 = 2¹ × 11¹ × 1297¹

Step-2: Prime Factorization of 28542

Prime factors of 28542 are 2, 3, 67, 71. Prime factorization of 28542 in exponential form is:

28542 = 2¹ × 3¹ × 67¹ × 71¹

Step-3: Factors of 28534

List of positive integer factors of 28534 that divides 28534 without a remainder.

1, 2, 11, 22, 1297, 2594, 14267

Step-4: Factors of 28542

List of positive integer factors of 28542 that divides 28534 without a remainder.

1, 2, 3, 6, 67, 71, 134, 142, 201, 213, 402, 426, 4757, 9514, 14271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28534 and 28542. The biggest common factor number is the GCF number.
So the greatest common factor 28534 and 28542 is 2.

Also check out the Least Common Multiple of 28534 and 28542