What is the Greatest Common Factor of 35112 and 35126?

Greatest common factor (GCF) of 35112 and 35126 is 14.

GCF(35112,35126) = 14

We will now calculate the prime factors of 35112 and 35126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35112 and 35126.

How to find the GCF of 35112 and 35126?

We will first find the prime factorization of 35112 and 35126. After we will calculate the factors of 35112 and 35126 and find the biggest common factor number .

Step-1: Prime Factorization of 35112

Prime factors of 35112 are 2, 3, 7, 11, 19. Prime factorization of 35112 in exponential form is:

35112 = 2³ × 3¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 35126

Prime factors of 35126 are 2, 7, 13, 193. Prime factorization of 35126 in exponential form is:

35126 = 2¹ × 7¹ × 13¹ × 193¹

Step-3: Factors of 35112

List of positive integer factors of 35112 that divides 35112 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 19, 21, 22, 24, 28, 33, 38, 42, 44, 56, 57, 66, 76, 77, 84, 88, 114, 132, 133, 152, 154, 168, 209, 228, 231, 264, 266, 308, 399, 418, 456, 462, 532, 616, 627, 798, 836, 924, 1064, 1254, 1463, 1596, 1672, 1848, 2508, 2926, 3192, 4389, 5016, 5852, 8778, 11704, 17556

Step-4: Factors of 35126

List of positive integer factors of 35126 that divides 35112 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 193, 386, 1351, 2509, 2702, 5018, 17563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35112 and 35126. The biggest common factor number is the GCF number.
So the greatest common factor 35112 and 35126 is 14.

Also check out the Least Common Multiple of 35112 and 35126