What is the Greatest Common Factor of 69265 and 69279?

Greatest common factor (GCF) of 69265 and 69279 is 7.

GCF(69265,69279) = 7

We will now calculate the prime factors of 69265 and 69279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69265 and 69279.

How to find the GCF of 69265 and 69279?

We will first find the prime factorization of 69265 and 69279. After we will calculate the factors of 69265 and 69279 and find the biggest common factor number .

Step-1: Prime Factorization of 69265

Prime factors of 69265 are 5, 7, 1979. Prime factorization of 69265 in exponential form is:

69265 = 5¹ × 7¹ × 1979¹

Step-2: Prime Factorization of 69279

Prime factors of 69279 are 3, 7, 3299. Prime factorization of 69279 in exponential form is:

69279 = 3¹ × 7¹ × 3299¹

Step-3: Factors of 69265

List of positive integer factors of 69265 that divides 69265 without a remainder.

1, 5, 7, 35, 1979, 9895, 13853

Step-4: Factors of 69279

List of positive integer factors of 69279 that divides 69265 without a remainder.

1, 3, 7, 21, 3299, 9897, 23093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69265 and 69279. The biggest common factor number is the GCF number.
So the greatest common factor 69265 and 69279 is 7.

Also check out the Least Common Multiple of 69265 and 69279