What is the Greatest Common Factor of 65424 and 65442?

Greatest common factor (GCF) of 65424 and 65442 is 6.

GCF(65424,65442) = 6

We will now calculate the prime factors of 65424 and 65442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65424 and 65442.

How to find the GCF of 65424 and 65442?

We will first find the prime factorization of 65424 and 65442. After we will calculate the factors of 65424 and 65442 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 65442

Prime factors of 65442 are 2, 3, 13, 839. Prime factorization of 65442 in exponential form is:

65442 = 2¹ × 3¹ × 13¹ × 839¹

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 65442

List of positive integer factors of 65442 that divides 65424 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 839, 1678, 2517, 5034, 10907, 21814, 32721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65424 and 65442. The biggest common factor number is the GCF number.
So the greatest common factor 65424 and 65442 is 6.

Also check out the Least Common Multiple of 65424 and 65442