What is the Greatest Common Factor of 69516 and 69522?

Greatest common factor (GCF) of 69516 and 69522 is 6.

GCF(69516,69522) = 6

We will now calculate the prime factors of 69516 and 69522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69516 and 69522.

How to find the GCF of 69516 and 69522?

We will first find the prime factorization of 69516 and 69522. After we will calculate the factors of 69516 and 69522 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69522

Prime factors of 69522 are 2, 3, 11587. Prime factorization of 69522 in exponential form is:

69522 = 2¹ × 3¹ × 11587¹

Step-3: Factors of 69516

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

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

Step-4: Factors of 69522

List of positive integer factors of 69522 that divides 69516 without a remainder.

1, 2, 3, 6, 11587, 23174, 34761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69516 and 69522. The biggest common factor number is the GCF number.
So the greatest common factor 69516 and 69522 is 6.

Also check out the Least Common Multiple of 69516 and 69522