What is the Greatest Common Factor of 72738 and 72754?

Greatest common factor (GCF) of 72738 and 72754 is 2.

GCF(72738,72754) = 2

We will now calculate the prime factors of 72738 and 72754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72738 and 72754.

How to find the GCF of 72738 and 72754?

We will first find the prime factorization of 72738 and 72754. After we will calculate the factors of 72738 and 72754 and find the biggest common factor number .

Step-1: Prime Factorization of 72738

Prime factors of 72738 are 2, 3, 449. Prime factorization of 72738 in exponential form is:

72738 = 2¹ × 3⁴ × 449¹

Step-2: 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-3: Factors of 72738

List of positive integer factors of 72738 that divides 72738 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 449, 898, 1347, 2694, 4041, 8082, 12123, 24246, 36369

Step-4: Factors of 72754

List of positive integer factors of 72754 that divides 72738 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72738 and 72754. The biggest common factor number is the GCF number.
So the greatest common factor 72738 and 72754 is 2.

Also check out the Least Common Multiple of 72738 and 72754