What is the Greatest Common Factor of 28609 and 28616?

Greatest common factor (GCF) of 28609 and 28616 is 7.

GCF(28609,28616) = 7

We will now calculate the prime factors of 28609 and 28616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28609 and 28616.

How to find the GCF of 28609 and 28616?

We will first find the prime factorization of 28609 and 28616. After we will calculate the factors of 28609 and 28616 and find the biggest common factor number .

Step-1: Prime Factorization of 28609

Prime factors of 28609 are 7, 61, 67. Prime factorization of 28609 in exponential form is:

28609 = 7¹ × 61¹ × 67¹

Step-2: Prime Factorization of 28616

Prime factors of 28616 are 2, 7, 73. Prime factorization of 28616 in exponential form is:

28616 = 2³ × 7² × 73¹

Step-3: Factors of 28609

List of positive integer factors of 28609 that divides 28609 without a remainder.

1, 7, 61, 67, 427, 469, 4087

Step-4: Factors of 28616

List of positive integer factors of 28616 that divides 28609 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 73, 98, 146, 196, 292, 392, 511, 584, 1022, 2044, 3577, 4088, 7154, 14308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28609 and 28616. The biggest common factor number is the GCF number.
So the greatest common factor 28609 and 28616 is 7.

Also check out the Least Common Multiple of 28609 and 28616