What is the Greatest Common Factor of 77049 and 77061?

Greatest common factor (GCF) of 77049 and 77061 is 3.

GCF(77049,77061) = 3

We will now calculate the prime factors of 77049 and 77061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77049 and 77061.

How to find the GCF of 77049 and 77061?

We will first find the prime factorization of 77049 and 77061. After we will calculate the factors of 77049 and 77061 and find the biggest common factor number .

Step-1: Prime Factorization of 77049

Prime factors of 77049 are 3, 7, 1223. Prime factorization of 77049 in exponential form is:

77049 = 3² × 7¹ × 1223¹

Step-2: Prime Factorization of 77061

Prime factors of 77061 are 3, 17, 1511. Prime factorization of 77061 in exponential form is:

77061 = 3¹ × 17¹ × 1511¹

Step-3: Factors of 77049

List of positive integer factors of 77049 that divides 77049 without a remainder.

1, 3, 7, 9, 21, 63, 1223, 3669, 8561, 11007, 25683

Step-4: Factors of 77061

List of positive integer factors of 77061 that divides 77049 without a remainder.

1, 3, 17, 51, 1511, 4533, 25687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77049 and 77061. The biggest common factor number is the GCF number.
So the greatest common factor 77049 and 77061 is 3.

Also check out the Least Common Multiple of 77049 and 77061