What is the Greatest Common Factor of 35112 and 35123?

Greatest common factor (GCF) of 35112 and 35123 is 11.

GCF(35112,35123) = 11

We will now calculate the prime factors of 35112 and 35123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35112 and 35123.

How to find the GCF of 35112 and 35123?

We will first find the prime factorization of 35112 and 35123. After we will calculate the factors of 35112 and 35123 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 35123

Prime factors of 35123 are 11, 31, 103. Prime factorization of 35123 in exponential form is:

35123 = 11¹ × 31¹ × 103¹

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 35123

List of positive integer factors of 35123 that divides 35112 without a remainder.

1, 11, 31, 103, 341, 1133, 3193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35112 and 35123. The biggest common factor number is the GCF number.
So the greatest common factor 35112 and 35123 is 11.

Also check out the Least Common Multiple of 35112 and 35123