What is the Greatest Common Factor of 85440 and 85460?

Greatest common factor (GCF) of 85440 and 85460 is 20.

GCF(85440,85460) = 20

We will now calculate the prime factors of 85440 and 85460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85440 and 85460.

How to find the GCF of 85440 and 85460?

We will first find the prime factorization of 85440 and 85460. After we will calculate the factors of 85440 and 85460 and find the biggest common factor number .

Step-1: Prime Factorization of 85440

Prime factors of 85440 are 2, 3, 5, 89. Prime factorization of 85440 in exponential form is:

85440 = 2⁶ × 3¹ × 5¹ × 89¹

Step-2: Prime Factorization of 85460

Prime factors of 85460 are 2, 5, 4273. Prime factorization of 85460 in exponential form is:

85460 = 2² × 5¹ × 4273¹

Step-3: Factors of 85440

List of positive integer factors of 85440 that divides 85440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 89, 96, 120, 160, 178, 192, 240, 267, 320, 356, 445, 480, 534, 712, 890, 960, 1068, 1335, 1424, 1780, 2136, 2670, 2848, 3560, 4272, 5340, 5696, 7120, 8544, 10680, 14240, 17088, 21360, 28480, 42720

Step-4: Factors of 85460

List of positive integer factors of 85460 that divides 85440 without a remainder.

1, 2, 4, 5, 10, 20, 4273, 8546, 17092, 21365, 42730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85440 and 85460. The biggest common factor number is the GCF number.
So the greatest common factor 85440 and 85460 is 20.

Also check out the Least Common Multiple of 85440 and 85460