What is the Greatest Common Factor of 69150 and 69164?

Greatest common factor (GCF) of 69150 and 69164 is 2.

GCF(69150,69164) = 2

We will now calculate the prime factors of 69150 and 69164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69150 and 69164.

How to find the GCF of 69150 and 69164?

We will first find the prime factorization of 69150 and 69164. After we will calculate the factors of 69150 and 69164 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 69164

Prime factors of 69164 are 2, 17291. Prime factorization of 69164 in exponential form is:

69164 = 2² × 17291¹

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 69164

List of positive integer factors of 69164 that divides 69150 without a remainder.

1, 2, 4, 17291, 34582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69150 and 69164. The biggest common factor number is the GCF number.
So the greatest common factor 69150 and 69164 is 2.

Also check out the Least Common Multiple of 69150 and 69164