What is the Greatest Common Factor of 61100 and 61109?

Greatest common factor (GCF) of 61100 and 61109 is 1.

GCF(61100,61109) = 1

We will now calculate the prime factors of 61100 and 61109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61100 and 61109.

How to find the GCF of 61100 and 61109?

We will first find the prime factorization of 61100 and 61109. After we will calculate the factors of 61100 and 61109 and find the biggest common factor number .

Step-1: Prime Factorization of 61100

Prime factors of 61100 are 2, 5, 13, 47. Prime factorization of 61100 in exponential form is:

61100 = 2² × 5² × 13¹ × 47¹

Step-2: Prime Factorization of 61109

Prime factors of 61109 are 53, 1153. Prime factorization of 61109 in exponential form is:

61109 = 53¹ × 1153¹

Step-3: Factors of 61100

List of positive integer factors of 61100 that divides 61100 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 47, 50, 52, 65, 94, 100, 130, 188, 235, 260, 325, 470, 611, 650, 940, 1175, 1222, 1300, 2350, 2444, 3055, 4700, 6110, 12220, 15275, 30550

Step-4: Factors of 61109

List of positive integer factors of 61109 that divides 61100 without a remainder.

1, 53, 1153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61100 and 61109. The biggest common factor number is the GCF number.
So the greatest common factor 61100 and 61109 is 1.

Also check out the Least Common Multiple of 61100 and 61109