What is the Greatest Common Factor of 35150 and 35169?

Greatest common factor (GCF) of 35150 and 35169 is 19.

GCF(35150,35169) = 19

We will now calculate the prime factors of 35150 and 35169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35150 and 35169.

How to find the GCF of 35150 and 35169?

We will first find the prime factorization of 35150 and 35169. After we will calculate the factors of 35150 and 35169 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 35169

Prime factors of 35169 are 3, 19, 617. Prime factorization of 35169 in exponential form is:

35169 = 3¹ × 19¹ × 617¹

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 35169

List of positive integer factors of 35169 that divides 35150 without a remainder.

1, 3, 19, 57, 617, 1851, 11723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35150 and 35169. The biggest common factor number is the GCF number.
So the greatest common factor 35150 and 35169 is 19.

Also check out the Least Common Multiple of 35150 and 35169