What is the Greatest Common Factor of 87730 and 87739?

Greatest common factor (GCF) of 87730 and 87739 is 1.

GCF(87730,87739) = 1

We will now calculate the prime factors of 87730 and 87739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87730 and 87739.

How to find the GCF of 87730 and 87739?

We will first find the prime factorization of 87730 and 87739. After we will calculate the factors of 87730 and 87739 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 87739

Prime factors of 87739 are 87739. Prime factorization of 87739 in exponential form is:

87739 = 87739¹

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 87739

List of positive integer factors of 87739 that divides 87730 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87730 and 87739. The biggest common factor number is the GCF number.
So the greatest common factor 87730 and 87739 is 1.

Also check out the Least Common Multiple of 87730 and 87739