What is the Greatest Common Factor of 72420 and 72429?

Greatest common factor (GCF) of 72420 and 72429 is 3.

GCF(72420,72429) = 3

We will now calculate the prime factors of 72420 and 72429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72420 and 72429.

How to find the GCF of 72420 and 72429?

We will first find the prime factorization of 72420 and 72429. After we will calculate the factors of 72420 and 72429 and find the biggest common factor number .

Step-1: Prime Factorization of 72420

Prime factors of 72420 are 2, 3, 5, 17, 71. Prime factorization of 72420 in exponential form is:

72420 = 2² × 3¹ × 5¹ × 17¹ × 71¹

Step-2: Prime Factorization of 72429

Prime factors of 72429 are 3, 7, 3449. Prime factorization of 72429 in exponential form is:

72429 = 3¹ × 7¹ × 3449¹

Step-3: Factors of 72420

List of positive integer factors of 72420 that divides 72420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 71, 85, 102, 142, 170, 204, 213, 255, 284, 340, 355, 426, 510, 710, 852, 1020, 1065, 1207, 1420, 2130, 2414, 3621, 4260, 4828, 6035, 7242, 12070, 14484, 18105, 24140, 36210

Step-4: Factors of 72429

List of positive integer factors of 72429 that divides 72420 without a remainder.

1, 3, 7, 21, 3449, 10347, 24143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72420 and 72429. The biggest common factor number is the GCF number.
So the greatest common factor 72420 and 72429 is 3.

Also check out the Least Common Multiple of 72420 and 72429