What is the Greatest Common Factor of 35150 and 35170?

Greatest common factor (GCF) of 35150 and 35170 is 10.

GCF(35150,35170) = 10

We will now calculate the prime factors of 35150 and 35170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35150 and 35170.

How to find the GCF of 35150 and 35170?

We will first find the prime factorization of 35150 and 35170. After we will calculate the factors of 35150 and 35170 and find the biggest common factor number .

Step-1: Prime Factorization of 35150

Prime factors of 35150 are 2, 5, 19, 37. Prime factorization of 35150 in exponential form is:

35150 = 2¹ × 5² × 19¹ × 37¹

Step-2: Prime Factorization of 35170

Prime factors of 35170 are 2, 5, 3517. Prime factorization of 35170 in exponential form is:

35170 = 2¹ × 5¹ × 3517¹

Step-3: Factors of 35150

List of positive integer factors of 35150 that divides 35150 without a remainder.

1, 2, 5, 10, 19, 25, 37, 38, 50, 74, 95, 185, 190, 370, 475, 703, 925, 950, 1406, 1850, 3515, 7030, 17575

Step-4: Factors of 35170

List of positive integer factors of 35170 that divides 35150 without a remainder.

1, 2, 5, 10, 3517, 7034, 17585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35150 and 35170. The biggest common factor number is the GCF number.
So the greatest common factor 35150 and 35170 is 10.

Also check out the Least Common Multiple of 35150 and 35170