What is the Greatest Common Factor of 32754 and 32758?

Greatest common factor (GCF) of 32754 and 32758 is 2.

GCF(32754,32758) = 2

We will now calculate the prime factors of 32754 and 32758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32754 and 32758.

How to find the GCF of 32754 and 32758?

We will first find the prime factorization of 32754 and 32758. After we will calculate the factors of 32754 and 32758 and find the biggest common factor number .

Step-1: Prime Factorization of 32754

Prime factors of 32754 are 2, 3, 53, 103. Prime factorization of 32754 in exponential form is:

32754 = 2¹ × 3¹ × 53¹ × 103¹

Step-2: Prime Factorization of 32758

Prime factors of 32758 are 2, 11, 1489. Prime factorization of 32758 in exponential form is:

32758 = 2¹ × 11¹ × 1489¹

Step-3: Factors of 32754

List of positive integer factors of 32754 that divides 32754 without a remainder.

1, 2, 3, 6, 53, 103, 106, 159, 206, 309, 318, 618, 5459, 10918, 16377

Step-4: Factors of 32758

List of positive integer factors of 32758 that divides 32754 without a remainder.

1, 2, 11, 22, 1489, 2978, 16379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32754 and 32758. The biggest common factor number is the GCF number.
So the greatest common factor 32754 and 32758 is 2.

Also check out the Least Common Multiple of 32754 and 32758