What is the Greatest Common Factor of 35095 and 35100?

Greatest common factor (GCF) of 35095 and 35100 is 5.

GCF(35095,35100) = 5

We will now calculate the prime factors of 35095 and 35100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35095 and 35100.

How to find the GCF of 35095 and 35100?

We will first find the prime factorization of 35095 and 35100. After we will calculate the factors of 35095 and 35100 and find the biggest common factor number .

Step-1: Prime Factorization of 35095

Prime factors of 35095 are 5, 7019. Prime factorization of 35095 in exponential form is:

35095 = 5¹ × 7019¹

Step-2: 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-3: Factors of 35095

List of positive integer factors of 35095 that divides 35095 without a remainder.

1, 5, 7019

Step-4: Factors of 35100

List of positive integer factors of 35100 that divides 35095 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35095 and 35100. The biggest common factor number is the GCF number.
So the greatest common factor 35095 and 35100 is 5.

Also check out the Least Common Multiple of 35095 and 35100