What is the Greatest Common Factor of 28546 and 28553?

Greatest common factor (GCF) of 28546 and 28553 is 7.

GCF(28546,28553) = 7

We will now calculate the prime factors of 28546 and 28553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28546 and 28553.

How to find the GCF of 28546 and 28553?

We will first find the prime factorization of 28546 and 28553. After we will calculate the factors of 28546 and 28553 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28553

Prime factors of 28553 are 7, 4079. Prime factorization of 28553 in exponential form is:

28553 = 7¹ × 4079¹

Step-3: Factors of 28546

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

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

Step-4: Factors of 28553

List of positive integer factors of 28553 that divides 28546 without a remainder.

1, 7, 4079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28546 and 28553. The biggest common factor number is the GCF number.
So the greatest common factor 28546 and 28553 is 7.

Also check out the Least Common Multiple of 28546 and 28553