What is the Greatest Common Factor of 65407 and 65424?

Greatest common factor (GCF) of 65407 and 65424 is 1.

GCF(65407,65424) = 1

We will now calculate the prime factors of 65407 and 65424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65407 and 65424.

How to find the GCF of 65407 and 65424?

We will first find the prime factorization of 65407 and 65424. After we will calculate the factors of 65407 and 65424 and find the biggest common factor number .

Step-1: Prime Factorization of 65407

Prime factors of 65407 are 65407. Prime factorization of 65407 in exponential form is:

65407 = 65407¹

Step-2: 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-3: Factors of 65407

List of positive integer factors of 65407 that divides 65407 without a remainder.

Step-4: Factors of 65424

List of positive integer factors of 65424 that divides 65407 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65407 and 65424. The biggest common factor number is the GCF number.
So the greatest common factor 65407 and 65424 is 1.

Also check out the Least Common Multiple of 65407 and 65424