What is the Greatest Common Factor of 14720 and 14732?

Greatest common factor (GCF) of 14720 and 14732 is 4.

GCF(14720,14732) = 4

We will now calculate the prime factors of 14720 and 14732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14720 and 14732.

How to find the GCF of 14720 and 14732?

We will first find the prime factorization of 14720 and 14732. After we will calculate the factors of 14720 and 14732 and find the biggest common factor number .

Step-1: Prime Factorization of 14720

Prime factors of 14720 are 2, 5, 23. Prime factorization of 14720 in exponential form is:

14720 = 2⁷ × 5¹ × 23¹

Step-2: Prime Factorization of 14732

Prime factors of 14732 are 2, 29, 127. Prime factorization of 14732 in exponential form is:

14732 = 2² × 29¹ × 127¹

Step-3: Factors of 14720

List of positive integer factors of 14720 that divides 14720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 128, 160, 184, 230, 320, 368, 460, 640, 736, 920, 1472, 1840, 2944, 3680, 7360

Step-4: Factors of 14732

List of positive integer factors of 14732 that divides 14720 without a remainder.

1, 2, 4, 29, 58, 116, 127, 254, 508, 3683, 7366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14720 and 14732. The biggest common factor number is the GCF number.
So the greatest common factor 14720 and 14732 is 4.

Also check out the Least Common Multiple of 14720 and 14732