What is the Greatest Common Factor of 32480 and 32494?

Greatest common factor (GCF) of 32480 and 32494 is 14.

GCF(32480,32494) = 14

We will now calculate the prime factors of 32480 and 32494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32480 and 32494.

How to find the GCF of 32480 and 32494?

We will first find the prime factorization of 32480 and 32494. After we will calculate the factors of 32480 and 32494 and find the biggest common factor number .

Step-1: Prime Factorization of 32480

Prime factors of 32480 are 2, 5, 7, 29. Prime factorization of 32480 in exponential form is:

32480 = 2⁵ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 32494

Prime factors of 32494 are 2, 7, 11, 211. Prime factorization of 32494 in exponential form is:

32494 = 2¹ × 7¹ × 11¹ × 211¹

Step-3: Factors of 32480

List of positive integer factors of 32480 that divides 32480 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 32, 35, 40, 56, 58, 70, 80, 112, 116, 140, 145, 160, 203, 224, 232, 280, 290, 406, 464, 560, 580, 812, 928, 1015, 1120, 1160, 1624, 2030, 2320, 3248, 4060, 4640, 6496, 8120, 16240

Step-4: Factors of 32494

List of positive integer factors of 32494 that divides 32480 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 211, 422, 1477, 2321, 2954, 4642, 16247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32480 and 32494. The biggest common factor number is the GCF number.
So the greatest common factor 32480 and 32494 is 14.

Also check out the Least Common Multiple of 32480 and 32494