What is the Greatest Common Factor of 69030 and 69040?

Greatest common factor (GCF) of 69030 and 69040 is 10.

GCF(69030,69040) = 10

We will now calculate the prime factors of 69030 and 69040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69030 and 69040.

How to find the GCF of 69030 and 69040?

We will first find the prime factorization of 69030 and 69040. After we will calculate the factors of 69030 and 69040 and find the biggest common factor number .

Step-1: Prime Factorization of 69030

Prime factors of 69030 are 2, 3, 5, 13, 59. Prime factorization of 69030 in exponential form is:

69030 = 2¹ × 3² × 5¹ × 13¹ × 59¹

Step-2: Prime Factorization of 69040

Prime factors of 69040 are 2, 5, 863. Prime factorization of 69040 in exponential form is:

69040 = 2⁴ × 5¹ × 863¹

Step-3: Factors of 69030

List of positive integer factors of 69030 that divides 69030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 59, 65, 78, 90, 117, 118, 130, 177, 195, 234, 295, 354, 390, 531, 585, 590, 767, 885, 1062, 1170, 1534, 1770, 2301, 2655, 3835, 4602, 5310, 6903, 7670, 11505, 13806, 23010, 34515

Step-4: Factors of 69040

List of positive integer factors of 69040 that divides 69030 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 863, 1726, 3452, 4315, 6904, 8630, 13808, 17260, 34520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69030 and 69040. The biggest common factor number is the GCF number.
So the greatest common factor 69030 and 69040 is 10.

Also check out the Least Common Multiple of 69030 and 69040