What is the Greatest Common Factor of 69540 and 69558?

Greatest common factor (GCF) of 69540 and 69558 is 6.

GCF(69540,69558) = 6

We will now calculate the prime factors of 69540 and 69558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69540 and 69558.

How to find the GCF of 69540 and 69558?

We will first find the prime factorization of 69540 and 69558. After we will calculate the factors of 69540 and 69558 and find the biggest common factor number .

Step-1: Prime Factorization of 69540

Prime factors of 69540 are 2, 3, 5, 19, 61. Prime factorization of 69540 in exponential form is:

69540 = 2² × 3¹ × 5¹ × 19¹ × 61¹

Step-2: Prime Factorization of 69558

Prime factors of 69558 are 2, 3, 11593. Prime factorization of 69558 in exponential form is:

69558 = 2¹ × 3¹ × 11593¹

Step-3: Factors of 69540

List of positive integer factors of 69540 that divides 69540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 61, 76, 95, 114, 122, 183, 190, 228, 244, 285, 305, 366, 380, 570, 610, 732, 915, 1140, 1159, 1220, 1830, 2318, 3477, 3660, 4636, 5795, 6954, 11590, 13908, 17385, 23180, 34770

Step-4: Factors of 69558

List of positive integer factors of 69558 that divides 69540 without a remainder.

1, 2, 3, 6, 11593, 23186, 34779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69540 and 69558. The biggest common factor number is the GCF number.
So the greatest common factor 69540 and 69558 is 6.

Also check out the Least Common Multiple of 69540 and 69558