What is the Greatest Common Factor of 71730 and 71738?

Greatest common factor (GCF) of 71730 and 71738 is 2.

GCF(71730,71738) = 2

We will now calculate the prime factors of 71730 and 71738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71730 and 71738.

How to find the GCF of 71730 and 71738?

We will first find the prime factorization of 71730 and 71738. After we will calculate the factors of 71730 and 71738 and find the biggest common factor number .

Step-1: Prime Factorization of 71730

Prime factors of 71730 are 2, 3, 5, 797. Prime factorization of 71730 in exponential form is:

71730 = 2¹ × 3² × 5¹ × 797¹

Step-2: Prime Factorization of 71738

Prime factors of 71738 are 2, 35869. Prime factorization of 71738 in exponential form is:

71738 = 2¹ × 35869¹

Step-3: Factors of 71730

List of positive integer factors of 71730 that divides 71730 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 797, 1594, 2391, 3985, 4782, 7173, 7970, 11955, 14346, 23910, 35865

Step-4: Factors of 71738

List of positive integer factors of 71738 that divides 71730 without a remainder.

1, 2, 35869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71730 and 71738. The biggest common factor number is the GCF number.
So the greatest common factor 71730 and 71738 is 2.

Also check out the Least Common Multiple of 71730 and 71738