What is the Greatest Common Factor of 77740 and 77753?

Greatest common factor (GCF) of 77740 and 77753 is 13.

GCF(77740,77753) = 13

We will now calculate the prime factors of 77740 and 77753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77740 and 77753.

How to find the GCF of 77740 and 77753?

We will first find the prime factorization of 77740 and 77753. After we will calculate the factors of 77740 and 77753 and find the biggest common factor number .

Step-1: Prime Factorization of 77740

Prime factors of 77740 are 2, 5, 13, 23. Prime factorization of 77740 in exponential form is:

77740 = 2² × 5¹ × 13² × 23¹

Step-2: Prime Factorization of 77753

Prime factors of 77753 are 13, 5981. Prime factorization of 77753 in exponential form is:

77753 = 13¹ × 5981¹

Step-3: Factors of 77740

List of positive integer factors of 77740 that divides 77740 without a remainder.

1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 169, 230, 260, 299, 338, 460, 598, 676, 845, 1196, 1495, 1690, 2990, 3380, 3887, 5980, 7774, 15548, 19435, 38870

Step-4: Factors of 77753

List of positive integer factors of 77753 that divides 77740 without a remainder.

1, 13, 5981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77740 and 77753. The biggest common factor number is the GCF number.
So the greatest common factor 77740 and 77753 is 13.

Also check out the Least Common Multiple of 77740 and 77753