What is the Greatest Common Factor of 61170 and 61184?

Greatest common factor (GCF) of 61170 and 61184 is 2.

GCF(61170,61184) = 2

We will now calculate the prime factors of 61170 and 61184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61170 and 61184.

How to find the GCF of 61170 and 61184?

We will first find the prime factorization of 61170 and 61184. After we will calculate the factors of 61170 and 61184 and find the biggest common factor number .

Step-1: Prime Factorization of 61170

Prime factors of 61170 are 2, 3, 5, 2039. Prime factorization of 61170 in exponential form is:

61170 = 2¹ × 3¹ × 5¹ × 2039¹

Step-2: Prime Factorization of 61184

Prime factors of 61184 are 2, 239. Prime factorization of 61184 in exponential form is:

61184 = 2⁸ × 239¹

Step-3: Factors of 61170

List of positive integer factors of 61170 that divides 61170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2039, 4078, 6117, 10195, 12234, 20390, 30585

Step-4: Factors of 61184

List of positive integer factors of 61184 that divides 61170 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 239, 256, 478, 956, 1912, 3824, 7648, 15296, 30592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61170 and 61184. The biggest common factor number is the GCF number.
So the greatest common factor 61170 and 61184 is 2.

Also check out the Least Common Multiple of 61170 and 61184