What is the Greatest Common Factor of 69150 and 69162?

Greatest common factor (GCF) of 69150 and 69162 is 6.

GCF(69150,69162) = 6

We will now calculate the prime factors of 69150 and 69162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69150 and 69162.

How to find the GCF of 69150 and 69162?

We will first find the prime factorization of 69150 and 69162. After we will calculate the factors of 69150 and 69162 and find the biggest common factor number .

Step-1: Prime Factorization of 69150

Prime factors of 69150 are 2, 3, 5, 461. Prime factorization of 69150 in exponential form is:

69150 = 2¹ × 3¹ × 5² × 461¹

Step-2: Prime Factorization of 69162

Prime factors of 69162 are 2, 3, 11527. Prime factorization of 69162 in exponential form is:

69162 = 2¹ × 3¹ × 11527¹

Step-3: Factors of 69150

List of positive integer factors of 69150 that divides 69150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 461, 922, 1383, 2305, 2766, 4610, 6915, 11525, 13830, 23050, 34575

Step-4: Factors of 69162

List of positive integer factors of 69162 that divides 69150 without a remainder.

1, 2, 3, 6, 11527, 23054, 34581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69150 and 69162. The biggest common factor number is the GCF number.
So the greatest common factor 69150 and 69162 is 6.

Also check out the Least Common Multiple of 69150 and 69162