What is the Greatest Common Factor of 40730 and 40734?

Greatest common factor (GCF) of 40730 and 40734 is 2.

GCF(40730,40734) = 2

We will now calculate the prime factors of 40730 and 40734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40730 and 40734.

How to find the GCF of 40730 and 40734?

We will first find the prime factorization of 40730 and 40734. After we will calculate the factors of 40730 and 40734 and find the biggest common factor number .

Step-1: Prime Factorization of 40730

Prime factors of 40730 are 2, 5, 4073. Prime factorization of 40730 in exponential form is:

40730 = 2¹ × 5¹ × 4073¹

Step-2: Prime Factorization of 40734

Prime factors of 40734 are 2, 3, 31, 73. Prime factorization of 40734 in exponential form is:

40734 = 2¹ × 3² × 31¹ × 73¹

Step-3: Factors of 40730

List of positive integer factors of 40730 that divides 40730 without a remainder.

1, 2, 5, 10, 4073, 8146, 20365

Step-4: Factors of 40734

List of positive integer factors of 40734 that divides 40730 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 73, 93, 146, 186, 219, 279, 438, 558, 657, 1314, 2263, 4526, 6789, 13578, 20367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40730 and 40734. The biggest common factor number is the GCF number.
So the greatest common factor 40730 and 40734 is 2.

Also check out the Least Common Multiple of 40730 and 40734