What is the Greatest Common Factor of 69489 and 69501?

Greatest common factor (GCF) of 69489 and 69501 is 3.

GCF(69489,69501) = 3

We will now calculate the prime factors of 69489 and 69501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69489 and 69501.

How to find the GCF of 69489 and 69501?

We will first find the prime factorization of 69489 and 69501. After we will calculate the factors of 69489 and 69501 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 69501

Prime factors of 69501 are 3, 23167. Prime factorization of 69501 in exponential form is:

69501 = 3¹ × 23167¹

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 69501

List of positive integer factors of 69501 that divides 69489 without a remainder.

1, 3, 23167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69489 and 69501. The biggest common factor number is the GCF number.
So the greatest common factor 69489 and 69501 is 3.

Also check out the Least Common Multiple of 69489 and 69501