What is the Greatest Common Factor of 73761 and 73770?

Greatest common factor (GCF) of 73761 and 73770 is 3.

GCF(73761,73770) = 3

We will now calculate the prime factors of 73761 and 73770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73761 and 73770.

How to find the GCF of 73761 and 73770?

We will first find the prime factorization of 73761 and 73770. After we will calculate the factors of 73761 and 73770 and find the biggest common factor number .

Step-1: Prime Factorization of 73761

Prime factors of 73761 are 3, 23, 1069. Prime factorization of 73761 in exponential form is:

73761 = 3¹ × 23¹ × 1069¹

Step-2: Prime Factorization of 73770

Prime factors of 73770 are 2, 3, 5, 2459. Prime factorization of 73770 in exponential form is:

73770 = 2¹ × 3¹ × 5¹ × 2459¹

Step-3: Factors of 73761

List of positive integer factors of 73761 that divides 73761 without a remainder.

1, 3, 23, 69, 1069, 3207, 24587

Step-4: Factors of 73770

List of positive integer factors of 73770 that divides 73761 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2459, 4918, 7377, 12295, 14754, 24590, 36885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73761 and 73770. The biggest common factor number is the GCF number.
So the greatest common factor 73761 and 73770 is 3.

Also check out the Least Common Multiple of 73761 and 73770