What is the Greatest Common Factor of 61029 and 61035?

Greatest common factor (GCF) of 61029 and 61035 is 3.

GCF(61029,61035) = 3

We will now calculate the prime factors of 61029 and 61035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61029 and 61035.

How to find the GCF of 61029 and 61035?

We will first find the prime factorization of 61029 and 61035. After we will calculate the factors of 61029 and 61035 and find the biggest common factor number .

Step-1: Prime Factorization of 61029

Prime factors of 61029 are 3, 6781. Prime factorization of 61029 in exponential form is:

61029 = 3² × 6781¹

Step-2: Prime Factorization of 61035

Prime factors of 61035 are 3, 5, 13, 313. Prime factorization of 61035 in exponential form is:

61035 = 3¹ × 5¹ × 13¹ × 313¹

Step-3: Factors of 61029

List of positive integer factors of 61029 that divides 61029 without a remainder.

1, 3, 9, 6781, 20343

Step-4: Factors of 61035

List of positive integer factors of 61035 that divides 61029 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 313, 939, 1565, 4069, 4695, 12207, 20345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61029 and 61035. The biggest common factor number is the GCF number.
So the greatest common factor 61029 and 61035 is 3.

Also check out the Least Common Multiple of 61029 and 61035