What is the Greatest Common Factor of 69405 and 69420?

Greatest common factor (GCF) of 69405 and 69420 is 15.

GCF(69405,69420) = 15

We will now calculate the prime factors of 69405 and 69420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69405 and 69420.

How to find the GCF of 69405 and 69420?

We will first find the prime factorization of 69405 and 69420. After we will calculate the factors of 69405 and 69420 and find the biggest common factor number .

Step-1: Prime Factorization of 69405

Prime factors of 69405 are 3, 5, 7, 661. Prime factorization of 69405 in exponential form is:

69405 = 3¹ × 5¹ × 7¹ × 661¹

Step-2: Prime Factorization of 69420

Prime factors of 69420 are 2, 3, 5, 13, 89. Prime factorization of 69420 in exponential form is:

69420 = 2² × 3¹ × 5¹ × 13¹ × 89¹

Step-3: Factors of 69405

List of positive integer factors of 69405 that divides 69405 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 661, 1983, 3305, 4627, 9915, 13881, 23135

Step-4: Factors of 69420

List of positive integer factors of 69420 that divides 69405 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 89, 130, 156, 178, 195, 260, 267, 356, 390, 445, 534, 780, 890, 1068, 1157, 1335, 1780, 2314, 2670, 3471, 4628, 5340, 5785, 6942, 11570, 13884, 17355, 23140, 34710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69405 and 69420. The biggest common factor number is the GCF number.
So the greatest common factor 69405 and 69420 is 15.

Also check out the Least Common Multiple of 69405 and 69420