What is the Greatest Common Factor of 61171 and 61182?

Greatest common factor (GCF) of 61171 and 61182 is 11.

GCF(61171,61182) = 11

We will now calculate the prime factors of 61171 and 61182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61171 and 61182.

How to find the GCF of 61171 and 61182?

We will first find the prime factorization of 61171 and 61182. After we will calculate the factors of 61171 and 61182 and find the biggest common factor number .

Step-1: Prime Factorization of 61171

Prime factors of 61171 are 11, 67, 83. Prime factorization of 61171 in exponential form is:

61171 = 11¹ × 67¹ × 83¹

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 61171

List of positive integer factors of 61171 that divides 61171 without a remainder.

1, 11, 67, 83, 737, 913, 5561

Step-4: Factors of 61182

List of positive integer factors of 61182 that divides 61171 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 61171 and 61182. The biggest common factor number is the GCF number.
So the greatest common factor 61171 and 61182 is 11.

Also check out the Least Common Multiple of 61171 and 61182