What is the Greatest Common Factor of 87730 and 87743?

Greatest common factor (GCF) of 87730 and 87743 is 1.

GCF(87730,87743) = 1

We will now calculate the prime factors of 87730 and 87743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87730 and 87743.

How to find the GCF of 87730 and 87743?

We will first find the prime factorization of 87730 and 87743. After we will calculate the factors of 87730 and 87743 and find the biggest common factor number .

Step-1: Prime Factorization of 87730

Prime factors of 87730 are 2, 5, 31, 283. Prime factorization of 87730 in exponential form is:

87730 = 2¹ × 5¹ × 31¹ × 283¹

Step-2: Prime Factorization of 87743

Prime factors of 87743 are 87743. Prime factorization of 87743 in exponential form is:

87743 = 87743¹

Step-3: Factors of 87730

List of positive integer factors of 87730 that divides 87730 without a remainder.

1, 2, 5, 10, 31, 62, 155, 283, 310, 566, 1415, 2830, 8773, 17546, 43865

Step-4: Factors of 87743

List of positive integer factors of 87743 that divides 87730 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87730 and 87743. The biggest common factor number is the GCF number.
So the greatest common factor 87730 and 87743 is 1.

Also check out the Least Common Multiple of 87730 and 87743