What is the Greatest Common Factor of 72742 and 72746?

Greatest common factor (GCF) of 72742 and 72746 is 2.

GCF(72742,72746) = 2

We will now calculate the prime factors of 72742 and 72746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72742 and 72746.

How to find the GCF of 72742 and 72746?

We will first find the prime factorization of 72742 and 72746. After we will calculate the factors of 72742 and 72746 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72746

Prime factors of 72746 are 2, 36373. Prime factorization of 72746 in exponential form is:

72746 = 2¹ × 36373¹

Step-3: Factors of 72742

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

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

Step-4: Factors of 72746

List of positive integer factors of 72746 that divides 72742 without a remainder.

1, 2, 36373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72742 and 72746. The biggest common factor number is the GCF number.
So the greatest common factor 72742 and 72746 is 2.

Also check out the Least Common Multiple of 72742 and 72746