What is the Greatest Common Factor of 77730 and 77739?

Greatest common factor (GCF) of 77730 and 77739 is 3.

GCF(77730,77739) = 3

We will now calculate the prime factors of 77730 and 77739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77730 and 77739.

How to find the GCF of 77730 and 77739?

We will first find the prime factorization of 77730 and 77739. After we will calculate the factors of 77730 and 77739 and find the biggest common factor number .

Step-1: Prime Factorization of 77730

Prime factors of 77730 are 2, 3, 5, 2591. Prime factorization of 77730 in exponential form is:

77730 = 2¹ × 3¹ × 5¹ × 2591¹

Step-2: Prime Factorization of 77739

Prime factors of 77739 are 3, 25913. Prime factorization of 77739 in exponential form is:

77739 = 3¹ × 25913¹

Step-3: Factors of 77730

List of positive integer factors of 77730 that divides 77730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2591, 5182, 7773, 12955, 15546, 25910, 38865

Step-4: Factors of 77739

List of positive integer factors of 77739 that divides 77730 without a remainder.

1, 3, 25913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77730 and 77739. The biggest common factor number is the GCF number.
So the greatest common factor 77730 and 77739 is 3.

Also check out the Least Common Multiple of 77730 and 77739