What is the Greatest Common Factor of 61100 and 61105?

Greatest common factor (GCF) of 61100 and 61105 is 5.

GCF(61100,61105) = 5

We will now calculate the prime factors of 61100 and 61105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61100 and 61105.

How to find the GCF of 61100 and 61105?

We will first find the prime factorization of 61100 and 61105. After we will calculate the factors of 61100 and 61105 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 61105

Prime factors of 61105 are 5, 11, 101. Prime factorization of 61105 in exponential form is:

61105 = 5¹ × 11² × 101¹

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 61105

List of positive integer factors of 61105 that divides 61100 without a remainder.

1, 5, 11, 55, 101, 121, 505, 605, 1111, 5555, 12221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61100 and 61105. The biggest common factor number is the GCF number.
So the greatest common factor 61100 and 61105 is 5.

Also check out the Least Common Multiple of 61100 and 61105