What is the Greatest Common Factor of 72738 and 72742?

Greatest common factor (GCF) of 72738 and 72742 is 2.

GCF(72738,72742) = 2

We will now calculate the prime factors of 72738 and 72742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72738 and 72742.

How to find the GCF of 72738 and 72742?

We will first find the prime factorization of 72738 and 72742. After we will calculate the factors of 72738 and 72742 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 72742

Prime factors of 72742 are 2, 37, 983. Prime factorization of 72742 in exponential form is:

72742 = 2¹ × 37¹ × 983¹

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 72742

List of positive integer factors of 72742 that divides 72738 without a remainder.

1, 2, 37, 74, 983, 1966, 36371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72738 and 72742. The biggest common factor number is the GCF number.
So the greatest common factor 72738 and 72742 is 2.

Also check out the Least Common Multiple of 72738 and 72742