What is the Greatest Common Factor of 77730 and 77742?

Greatest common factor (GCF) of 77730 and 77742 is 6.

GCF(77730,77742) = 6

We will now calculate the prime factors of 77730 and 77742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77730 and 77742.

How to find the GCF of 77730 and 77742?

We will first find the prime factorization of 77730 and 77742. After we will calculate the factors of 77730 and 77742 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 77742

Prime factors of 77742 are 2, 3, 7, 617. Prime factorization of 77742 in exponential form is:

77742 = 2¹ × 3² × 7¹ × 617¹

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 77742

List of positive integer factors of 77742 that divides 77730 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 617, 1234, 1851, 3702, 4319, 5553, 8638, 11106, 12957, 25914, 38871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77730 and 77742. The biggest common factor number is the GCF number.
So the greatest common factor 77730 and 77742 is 6.

Also check out the Least Common Multiple of 77730 and 77742