What is the Greatest Common Factor of 65424 and 65430?

Greatest common factor (GCF) of 65424 and 65430 is 6.

GCF(65424,65430) = 6

We will now calculate the prime factors of 65424 and 65430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65424 and 65430.

How to find the GCF of 65424 and 65430?

We will first find the prime factorization of 65424 and 65430. After we will calculate the factors of 65424 and 65430 and find the biggest common factor number .

Step-1: Prime Factorization of 65424

Prime factors of 65424 are 2, 3, 29, 47. Prime factorization of 65424 in exponential form is:

65424 = 2⁴ × 3¹ × 29¹ × 47¹

Step-2: Prime Factorization of 65430

Prime factors of 65430 are 2, 3, 5, 727. Prime factorization of 65430 in exponential form is:

65430 = 2¹ × 3² × 5¹ × 727¹

Step-3: Factors of 65424

List of positive integer factors of 65424 that divides 65424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 47, 48, 58, 87, 94, 116, 141, 174, 188, 232, 282, 348, 376, 464, 564, 696, 752, 1128, 1363, 1392, 2256, 2726, 4089, 5452, 8178, 10904, 16356, 21808, 32712

Step-4: Factors of 65430

List of positive integer factors of 65430 that divides 65424 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 727, 1454, 2181, 3635, 4362, 6543, 7270, 10905, 13086, 21810, 32715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65424 and 65430. The biggest common factor number is the GCF number.
So the greatest common factor 65424 and 65430 is 6.

Also check out the Least Common Multiple of 65424 and 65430