What is the Greatest Common Factor of 72738 and 72751?

Greatest common factor (GCF) of 72738 and 72751 is 1.

GCF(72738,72751) = 1

We will now calculate the prime factors of 72738 and 72751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72738 and 72751.

How to find the GCF of 72738 and 72751?

We will first find the prime factorization of 72738 and 72751. After we will calculate the factors of 72738 and 72751 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 72751

Prime factors of 72751 are 7, 19, 547. Prime factorization of 72751 in exponential form is:

72751 = 7¹ × 19¹ × 547¹

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 72751

List of positive integer factors of 72751 that divides 72738 without a remainder.

1, 7, 19, 133, 547, 3829, 10393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72738 and 72751. The biggest common factor number is the GCF number.
So the greatest common factor 72738 and 72751 is 1.

Also check out the Least Common Multiple of 72738 and 72751