What is the Greatest Common Factor of 69524 and 69540?

Greatest common factor (GCF) of 69524 and 69540 is 4.

GCF(69524,69540) = 4

We will now calculate the prime factors of 69524 and 69540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69524 and 69540.

How to find the GCF of 69524 and 69540?

We will first find the prime factorization of 69524 and 69540. After we will calculate the factors of 69524 and 69540 and find the biggest common factor number .

Step-1: Prime Factorization of 69524

Prime factors of 69524 are 2, 7, 13, 191. Prime factorization of 69524 in exponential form is:

69524 = 2² × 7¹ × 13¹ × 191¹

Step-2: 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-3: Factors of 69524

List of positive integer factors of 69524 that divides 69524 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 191, 364, 382, 764, 1337, 2483, 2674, 4966, 5348, 9932, 17381, 34762

Step-4: Factors of 69540

List of positive integer factors of 69540 that divides 69524 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69524 and 69540. The biggest common factor number is the GCF number.
So the greatest common factor 69524 and 69540 is 4.

Also check out the Least Common Multiple of 69524 and 69540