What is the Greatest Common Factor of 35200 and 35207?

Greatest common factor (GCF) of 35200 and 35207 is 1.

GCF(35200,35207) = 1

We will now calculate the prime factors of 35200 and 35207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35200 and 35207.

How to find the GCF of 35200 and 35207?

We will first find the prime factorization of 35200 and 35207. After we will calculate the factors of 35200 and 35207 and find the biggest common factor number .

Step-1: Prime Factorization of 35200

Prime factors of 35200 are 2, 5, 11. Prime factorization of 35200 in exponential form is:

35200 = 2⁷ × 5² × 11¹

Step-2: Prime Factorization of 35207

Prime factors of 35207 are 17, 19, 109. Prime factorization of 35207 in exponential form is:

35207 = 17¹ × 19¹ × 109¹

Step-3: Factors of 35200

List of positive integer factors of 35200 that divides 35200 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 128, 160, 176, 200, 220, 275, 320, 352, 400, 440, 550, 640, 704, 800, 880, 1100, 1408, 1600, 1760, 2200, 3200, 3520, 4400, 7040, 8800, 17600

Step-4: Factors of 35207

List of positive integer factors of 35207 that divides 35200 without a remainder.

1, 17, 19, 109, 323, 1853, 2071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35200 and 35207. The biggest common factor number is the GCF number.
So the greatest common factor 35200 and 35207 is 1.

Also check out the Least Common Multiple of 35200 and 35207