What is the Greatest Common Factor of 77035 and 77049?

Greatest common factor (GCF) of 77035 and 77049 is 7.

GCF(77035,77049) = 7

We will now calculate the prime factors of 77035 and 77049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77035 and 77049.

How to find the GCF of 77035 and 77049?

We will first find the prime factorization of 77035 and 77049. After we will calculate the factors of 77035 and 77049 and find the biggest common factor number .

Step-1: Prime Factorization of 77035

Prime factors of 77035 are 5, 7, 31, 71. Prime factorization of 77035 in exponential form is:

77035 = 5¹ × 7¹ × 31¹ × 71¹

Step-2: 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-3: Factors of 77035

List of positive integer factors of 77035 that divides 77035 without a remainder.

1, 5, 7, 31, 35, 71, 155, 217, 355, 497, 1085, 2201, 2485, 11005, 15407

Step-4: Factors of 77049

List of positive integer factors of 77049 that divides 77035 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77035 and 77049. The biggest common factor number is the GCF number.
So the greatest common factor 77035 and 77049 is 7.

Also check out the Least Common Multiple of 77035 and 77049