What is the Greatest Common Factor of 69024 and 69030?

Greatest common factor (GCF) of 69024 and 69030 is 6.

GCF(69024,69030) = 6

We will now calculate the prime factors of 69024 and 69030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69024 and 69030.

How to find the GCF of 69024 and 69030?

We will first find the prime factorization of 69024 and 69030. After we will calculate the factors of 69024 and 69030 and find the biggest common factor number .

Step-1: Prime Factorization of 69024

Prime factors of 69024 are 2, 3, 719. Prime factorization of 69024 in exponential form is:

69024 = 2⁵ × 3¹ × 719¹

Step-2: 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-3: Factors of 69024

List of positive integer factors of 69024 that divides 69024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 719, 1438, 2157, 2876, 4314, 5752, 8628, 11504, 17256, 23008, 34512

Step-4: Factors of 69030

List of positive integer factors of 69030 that divides 69024 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69024 and 69030. The biggest common factor number is the GCF number.
So the greatest common factor 69024 and 69030 is 6.

Also check out the Least Common Multiple of 69024 and 69030