What is the Greatest Common Factor of 35100 and 35118?

Greatest common factor (GCF) of 35100 and 35118 is 18.

GCF(35100,35118) = 18

We will now calculate the prime factors of 35100 and 35118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35100 and 35118.

How to find the GCF of 35100 and 35118?

We will first find the prime factorization of 35100 and 35118. After we will calculate the factors of 35100 and 35118 and find the biggest common factor number .

Step-1: Prime Factorization of 35100

Prime factors of 35100 are 2, 3, 5, 13. Prime factorization of 35100 in exponential form is:

35100 = 2² × 3³ × 5² × 13¹

Step-2: Prime Factorization of 35118

Prime factors of 35118 are 2, 3, 1951. Prime factorization of 35118 in exponential form is:

35118 = 2¹ × 3² × 1951¹

Step-3: Factors of 35100

List of positive integer factors of 35100 that divides 35100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 25, 26, 27, 30, 36, 39, 45, 50, 52, 54, 60, 65, 75, 78, 90, 100, 108, 117, 130, 135, 150, 156, 180, 195, 225, 234, 260, 270, 300, 325, 351, 390, 450, 468, 540, 585, 650, 675, 702, 780, 900, 975, 1170, 1300, 1350, 1404, 1755, 1950, 2340, 2700, 2925, 3510, 3900, 5850, 7020, 8775, 11700, 17550

Step-4: Factors of 35118

List of positive integer factors of 35118 that divides 35100 without a remainder.

1, 2, 3, 6, 9, 18, 1951, 3902, 5853, 11706, 17559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35100 and 35118. The biggest common factor number is the GCF number.
So the greatest common factor 35100 and 35118 is 18.

Also check out the Least Common Multiple of 35100 and 35118