What is the Greatest Common Factor of 77049 and 77063?

Greatest common factor (GCF) of 77049 and 77063 is 7.

GCF(77049,77063) = 7

We will now calculate the prime factors of 77049 and 77063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77049 and 77063.

How to find the GCF of 77049 and 77063?

We will first find the prime factorization of 77049 and 77063. After we will calculate the factors of 77049 and 77063 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 77063

Prime factors of 77063 are 7, 101, 109. Prime factorization of 77063 in exponential form is:

77063 = 7¹ × 101¹ × 109¹

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 77063

List of positive integer factors of 77063 that divides 77049 without a remainder.

1, 7, 101, 109, 707, 763, 11009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77049 and 77063. The biggest common factor number is the GCF number.
So the greatest common factor 77049 and 77063 is 7.

Also check out the Least Common Multiple of 77049 and 77063