What is the Greatest Common Factor of 69509 and 69516?

Greatest common factor (GCF) of 69509 and 69516 is 1.

GCF(69509,69516) = 1

We will now calculate the prime factors of 69509 and 69516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69509 and 69516.

How to find the GCF of 69509 and 69516?

We will first find the prime factorization of 69509 and 69516. After we will calculate the factors of 69509 and 69516 and find the biggest common factor number .

Step-1: Prime Factorization of 69509

Prime factors of 69509 are 11, 71, 89. Prime factorization of 69509 in exponential form is:

69509 = 11¹ × 71¹ × 89¹

Step-2: Prime Factorization of 69516

Prime factors of 69516 are 2, 3, 1931. Prime factorization of 69516 in exponential form is:

69516 = 2² × 3² × 1931¹

Step-3: Factors of 69509

List of positive integer factors of 69509 that divides 69509 without a remainder.

1, 11, 71, 89, 781, 979, 6319

Step-4: Factors of 69516

List of positive integer factors of 69516 that divides 69509 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1931, 3862, 5793, 7724, 11586, 17379, 23172, 34758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69509 and 69516. The biggest common factor number is the GCF number.
So the greatest common factor 69509 and 69516 is 1.

Also check out the Least Common Multiple of 69509 and 69516