What is the Greatest Common Factor of 69420 and 69435?

Greatest common factor (GCF) of 69420 and 69435 is 15.

GCF(69420,69435) = 15

We will now calculate the prime factors of 69420 and 69435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69420 and 69435.

How to find the GCF of 69420 and 69435?

We will first find the prime factorization of 69420 and 69435. After we will calculate the factors of 69420 and 69435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69435

Prime factors of 69435 are 3, 5, 1543. Prime factorization of 69435 in exponential form is:

69435 = 3² × 5¹ × 1543¹

Step-3: Factors of 69420

List of positive integer factors of 69420 that divides 69420 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

Step-4: Factors of 69435

List of positive integer factors of 69435 that divides 69420 without a remainder.

1, 3, 5, 9, 15, 45, 1543, 4629, 7715, 13887, 23145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69420 and 69435. The biggest common factor number is the GCF number.
So the greatest common factor 69420 and 69435 is 15.

Also check out the Least Common Multiple of 69420 and 69435