What is the Greatest Common Factor of 35178 and 35182?

Greatest common factor (GCF) of 35178 and 35182 is 2.

GCF(35178,35182) = 2

We will now calculate the prime factors of 35178 and 35182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35178 and 35182.

How to find the GCF of 35178 and 35182?

We will first find the prime factorization of 35178 and 35182. After we will calculate the factors of 35178 and 35182 and find the biggest common factor number .

Step-1: Prime Factorization of 35178

Prime factors of 35178 are 2, 3, 11, 13, 41. Prime factorization of 35178 in exponential form is:

35178 = 2¹ × 3¹ × 11¹ × 13¹ × 41¹

Step-2: Prime Factorization of 35182

Prime factors of 35182 are 2, 7, 359. Prime factorization of 35182 in exponential form is:

35182 = 2¹ × 7² × 359¹

Step-3: Factors of 35178

List of positive integer factors of 35178 that divides 35178 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 41, 66, 78, 82, 123, 143, 246, 286, 429, 451, 533, 858, 902, 1066, 1353, 1599, 2706, 3198, 5863, 11726, 17589

Step-4: Factors of 35182

List of positive integer factors of 35182 that divides 35178 without a remainder.

1, 2, 7, 14, 49, 98, 359, 718, 2513, 5026, 17591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35178 and 35182. The biggest common factor number is the GCF number.
So the greatest common factor 35178 and 35182 is 2.

Also check out the Least Common Multiple of 35178 and 35182