What is the Greatest Common Factor of 61167 and 61182?

Greatest common factor (GCF) of 61167 and 61182 is 3.

GCF(61167,61182) = 3

We will now calculate the prime factors of 61167 and 61182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61167 and 61182.

How to find the GCF of 61167 and 61182?

We will first find the prime factorization of 61167 and 61182. After we will calculate the factors of 61167 and 61182 and find the biggest common factor number .

Step-1: Prime Factorization of 61167

Prime factors of 61167 are 3, 20389. Prime factorization of 61167 in exponential form is:

61167 = 3¹ × 20389¹

Step-2: Prime Factorization of 61182

Prime factors of 61182 are 2, 3, 11, 103. Prime factorization of 61182 in exponential form is:

61182 = 2¹ × 3³ × 11¹ × 103¹

Step-3: Factors of 61167

List of positive integer factors of 61167 that divides 61167 without a remainder.

1, 3, 20389

Step-4: Factors of 61182

List of positive integer factors of 61182 that divides 61167 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 103, 198, 206, 297, 309, 594, 618, 927, 1133, 1854, 2266, 2781, 3399, 5562, 6798, 10197, 20394, 30591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61167 and 61182. The biggest common factor number is the GCF number.
So the greatest common factor 61167 and 61182 is 3.

Also check out the Least Common Multiple of 61167 and 61182