What is the Greatest Common Factor of 69489 and 69495?

Greatest common factor (GCF) of 69489 and 69495 is 3.

GCF(69489,69495) = 3

We will now calculate the prime factors of 69489 and 69495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69489 and 69495.

How to find the GCF of 69489 and 69495?

We will first find the prime factorization of 69489 and 69495. After we will calculate the factors of 69489 and 69495 and find the biggest common factor number .

Step-1: Prime Factorization of 69489

Prime factors of 69489 are 3, 7, 1103. Prime factorization of 69489 in exponential form is:

69489 = 3² × 7¹ × 1103¹

Step-2: Prime Factorization of 69495

Prime factors of 69495 are 3, 5, 41, 113. Prime factorization of 69495 in exponential form is:

69495 = 3¹ × 5¹ × 41¹ × 113¹

Step-3: Factors of 69489

List of positive integer factors of 69489 that divides 69489 without a remainder.

1, 3, 7, 9, 21, 63, 1103, 3309, 7721, 9927, 23163

Step-4: Factors of 69495

List of positive integer factors of 69495 that divides 69489 without a remainder.

1, 3, 5, 15, 41, 113, 123, 205, 339, 565, 615, 1695, 4633, 13899, 23165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69489 and 69495. The biggest common factor number is the GCF number.
So the greatest common factor 69489 and 69495 is 3.

Also check out the Least Common Multiple of 69489 and 69495