What is the Greatest Common Factor of 35556 and 35568?

Greatest common factor (GCF) of 35556 and 35568 is 12.

GCF(35556,35568) = 12

We will now calculate the prime factors of 35556 and 35568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35556 and 35568.

How to find the GCF of 35556 and 35568?

We will first find the prime factorization of 35556 and 35568. After we will calculate the factors of 35556 and 35568 and find the biggest common factor number .

Step-1: Prime Factorization of 35556

Prime factors of 35556 are 2, 3, 2963. Prime factorization of 35556 in exponential form is:

35556 = 2² × 3¹ × 2963¹

Step-2: Prime Factorization of 35568

Prime factors of 35568 are 2, 3, 13, 19. Prime factorization of 35568 in exponential form is:

35568 = 2⁴ × 3² × 13¹ × 19¹

Step-3: Factors of 35556

List of positive integer factors of 35556 that divides 35556 without a remainder.

1, 2, 3, 4, 6, 12, 2963, 5926, 8889, 11852, 17778

Step-4: Factors of 35568

List of positive integer factors of 35568 that divides 35556 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 19, 24, 26, 36, 38, 39, 48, 52, 57, 72, 76, 78, 104, 114, 117, 144, 152, 156, 171, 208, 228, 234, 247, 304, 312, 342, 456, 468, 494, 624, 684, 741, 912, 936, 988, 1368, 1482, 1872, 1976, 2223, 2736, 2964, 3952, 4446, 5928, 8892, 11856, 17784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35556 and 35568. The biggest common factor number is the GCF number.
So the greatest common factor 35556 and 35568 is 12.

Also check out the Least Common Multiple of 35556 and 35568