What is the Greatest Common Factor of 61035 and 61049?

Greatest common factor (GCF) of 61035 and 61049 is 1.

GCF(61035,61049) = 1

We will now calculate the prime factors of 61035 and 61049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61035 and 61049.

How to find the GCF of 61035 and 61049?

We will first find the prime factorization of 61035 and 61049. After we will calculate the factors of 61035 and 61049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61049

Prime factors of 61049 are 41, 1489. Prime factorization of 61049 in exponential form is:

61049 = 41¹ × 1489¹

Step-3: Factors of 61035

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

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

Step-4: Factors of 61049

List of positive integer factors of 61049 that divides 61035 without a remainder.

1, 41, 1489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61035 and 61049. The biggest common factor number is the GCF number.
So the greatest common factor 61035 and 61049 is 1.

Also check out the Least Common Multiple of 61035 and 61049