What is the Greatest Common Factor of 32460 and 32480?

Greatest common factor (GCF) of 32460 and 32480 is 20.

GCF(32460,32480) = 20

We will now calculate the prime factors of 32460 and 32480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32460 and 32480.

How to find the GCF of 32460 and 32480?

We will first find the prime factorization of 32460 and 32480. After we will calculate the factors of 32460 and 32480 and find the biggest common factor number .

Step-1: Prime Factorization of 32460

Prime factors of 32460 are 2, 3, 5, 541. Prime factorization of 32460 in exponential form is:

32460 = 2² × 3¹ × 5¹ × 541¹

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 32460

List of positive integer factors of 32460 that divides 32460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 541, 1082, 1623, 2164, 2705, 3246, 5410, 6492, 8115, 10820, 16230

Step-4: Factors of 32480

List of positive integer factors of 32480 that divides 32460 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 32460 and 32480. The biggest common factor number is the GCF number.
So the greatest common factor 32460 and 32480 is 20.

Also check out the Least Common Multiple of 32460 and 32480