What is the Greatest Common Factor of 32462 and 32480?

Greatest common factor (GCF) of 32462 and 32480 is 2.

GCF(32462,32480) = 2

We will now calculate the prime factors of 32462 and 32480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32462 and 32480.

How to find the GCF of 32462 and 32480?

We will first find the prime factorization of 32462 and 32480. After we will calculate the factors of 32462 and 32480 and find the biggest common factor number .

Step-1: Prime Factorization of 32462

Prime factors of 32462 are 2, 16231. Prime factorization of 32462 in exponential form is:

32462 = 2¹ × 16231¹

Step-2: 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-3: Factors of 32462

List of positive integer factors of 32462 that divides 32462 without a remainder.

1, 2, 16231

Step-4: Factors of 32480

List of positive integer factors of 32480 that divides 32462 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32462 and 32480. The biggest common factor number is the GCF number.
So the greatest common factor 32462 and 32480 is 2.

Also check out the Least Common Multiple of 32462 and 32480