What is the Greatest Common Factor of 61162 and 61182?

Greatest common factor (GCF) of 61162 and 61182 is 2.

GCF(61162,61182) = 2

We will now calculate the prime factors of 61162 and 61182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61162 and 61182.

How to find the GCF of 61162 and 61182?

We will first find the prime factorization of 61162 and 61182. After we will calculate the factors of 61162 and 61182 and find the biggest common factor number .

Step-1: Prime Factorization of 61162

Prime factors of 61162 are 2, 53, 577. Prime factorization of 61162 in exponential form is:

61162 = 2¹ × 53¹ × 577¹

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 61162

List of positive integer factors of 61162 that divides 61162 without a remainder.

1, 2, 53, 106, 577, 1154, 30581

Step-4: Factors of 61182

List of positive integer factors of 61182 that divides 61162 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 61162 and 61182. The biggest common factor number is the GCF number.
So the greatest common factor 61162 and 61182 is 2.

Also check out the Least Common Multiple of 61162 and 61182