What is the Greatest Common Factor of 35549 and 35568?

Greatest common factor (GCF) of 35549 and 35568 is 19.

GCF(35549,35568) = 19

We will now calculate the prime factors of 35549 and 35568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35549 and 35568.

How to find the GCF of 35549 and 35568?

We will first find the prime factorization of 35549 and 35568. After we will calculate the factors of 35549 and 35568 and find the biggest common factor number .

Step-1: Prime Factorization of 35549

Prime factors of 35549 are 19, 1871. Prime factorization of 35549 in exponential form is:

35549 = 19¹ × 1871¹

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 35549

List of positive integer factors of 35549 that divides 35549 without a remainder.

1, 19, 1871

Step-4: Factors of 35568

List of positive integer factors of 35568 that divides 35549 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 35549 and 35568. The biggest common factor number is the GCF number.
So the greatest common factor 35549 and 35568 is 19.

Also check out the Least Common Multiple of 35549 and 35568