What is the Greatest Common Factor of 14640 and 14657?

Greatest common factor (GCF) of 14640 and 14657 is 1.

GCF(14640,14657) = 1

We will now calculate the prime factors of 14640 and 14657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14640 and 14657.

How to find the GCF of 14640 and 14657?

We will first find the prime factorization of 14640 and 14657. After we will calculate the factors of 14640 and 14657 and find the biggest common factor number .

Step-1: Prime Factorization of 14640

Prime factors of 14640 are 2, 3, 5, 61. Prime factorization of 14640 in exponential form is:

14640 = 2⁴ × 3¹ × 5¹ × 61¹

Step-2: Prime Factorization of 14657

Prime factors of 14657 are 14657. Prime factorization of 14657 in exponential form is:

14657 = 14657¹

Step-3: Factors of 14640

List of positive integer factors of 14640 that divides 14640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 61, 80, 120, 122, 183, 240, 244, 305, 366, 488, 610, 732, 915, 976, 1220, 1464, 1830, 2440, 2928, 3660, 4880, 7320

Step-4: Factors of 14657

List of positive integer factors of 14657 that divides 14640 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14640 and 14657. The biggest common factor number is the GCF number.
So the greatest common factor 14640 and 14657 is 1.

Also check out the Least Common Multiple of 14640 and 14657