What is the Greatest Common Factor of 61170 and 61176?

Greatest common factor (GCF) of 61170 and 61176 is 6.

GCF(61170,61176) = 6

We will now calculate the prime factors of 61170 and 61176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61170 and 61176.

How to find the GCF of 61170 and 61176?

We will first find the prime factorization of 61170 and 61176. After we will calculate the factors of 61170 and 61176 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 61176

Prime factors of 61176 are 2, 3, 2549. Prime factorization of 61176 in exponential form is:

61176 = 2³ × 3¹ × 2549¹

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 61176

List of positive integer factors of 61176 that divides 61170 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2549, 5098, 7647, 10196, 15294, 20392, 30588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61170 and 61176. The biggest common factor number is the GCF number.
So the greatest common factor 61170 and 61176 is 6.

Also check out the Least Common Multiple of 61170 and 61176