What is the Greatest Common Factor of 72742 and 72758?

Greatest common factor (GCF) of 72742 and 72758 is 2.

GCF(72742,72758) = 2

We will now calculate the prime factors of 72742 and 72758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72742 and 72758.

How to find the GCF of 72742 and 72758?

We will first find the prime factorization of 72742 and 72758. After we will calculate the factors of 72742 and 72758 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 72758

Prime factors of 72758 are 2, 7, 5197. Prime factorization of 72758 in exponential form is:

72758 = 2¹ × 7¹ × 5197¹

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 72758

List of positive integer factors of 72758 that divides 72742 without a remainder.

1, 2, 7, 14, 5197, 10394, 36379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72742 and 72758. The biggest common factor number is the GCF number.
So the greatest common factor 72742 and 72758 is 2.

Also check out the Least Common Multiple of 72742 and 72758