What is the Greatest Common Factor of 28754 and 28765?

Greatest common factor (GCF) of 28754 and 28765 is 11.

GCF(28754,28765) = 11

We will now calculate the prime factors of 28754 and 28765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28754 and 28765.

How to find the GCF of 28754 and 28765?

We will first find the prime factorization of 28754 and 28765. After we will calculate the factors of 28754 and 28765 and find the biggest common factor number .

Step-1: Prime Factorization of 28754

Prime factors of 28754 are 2, 11, 1307. Prime factorization of 28754 in exponential form is:

28754 = 2¹ × 11¹ × 1307¹

Step-2: Prime Factorization of 28765

Prime factors of 28765 are 5, 11, 523. Prime factorization of 28765 in exponential form is:

28765 = 5¹ × 11¹ × 523¹

Step-3: Factors of 28754

List of positive integer factors of 28754 that divides 28754 without a remainder.

1, 2, 11, 22, 1307, 2614, 14377

Step-4: Factors of 28765

List of positive integer factors of 28765 that divides 28754 without a remainder.

1, 5, 11, 55, 523, 2615, 5753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28754 and 28765. The biggest common factor number is the GCF number.
So the greatest common factor 28754 and 28765 is 11.

Also check out the Least Common Multiple of 28754 and 28765