What is the Greatest Common Factor of 72754 and 72766?

Greatest common factor (GCF) of 72754 and 72766 is 2.

GCF(72754,72766) = 2

We will now calculate the prime factors of 72754 and 72766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72754 and 72766.

How to find the GCF of 72754 and 72766?

We will first find the prime factorization of 72754 and 72766. After we will calculate the factors of 72754 and 72766 and find the biggest common factor number .

Step-1: Prime Factorization of 72754

Prime factors of 72754 are 2, 11, 3307. Prime factorization of 72754 in exponential form is:

72754 = 2¹ × 11¹ × 3307¹

Step-2: Prime Factorization of 72766

Prime factors of 72766 are 2, 36383. Prime factorization of 72766 in exponential form is:

72766 = 2¹ × 36383¹

Step-3: Factors of 72754

List of positive integer factors of 72754 that divides 72754 without a remainder.

1, 2, 11, 22, 3307, 6614, 36377

Step-4: Factors of 72766

List of positive integer factors of 72766 that divides 72754 without a remainder.

1, 2, 36383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72754 and 72766. The biggest common factor number is the GCF number.
So the greatest common factor 72754 and 72766 is 2.

Also check out the Least Common Multiple of 72754 and 72766