What is the Greatest Common Factor of 85440 and 85448?

Greatest common factor (GCF) of 85440 and 85448 is 8.

GCF(85440,85448) = 8

We will now calculate the prime factors of 85440 and 85448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85440 and 85448.

How to find the GCF of 85440 and 85448?

We will first find the prime factorization of 85440 and 85448. After we will calculate the factors of 85440 and 85448 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 85448

Prime factors of 85448 are 2, 11, 971. Prime factorization of 85448 in exponential form is:

85448 = 2³ × 11¹ × 971¹

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 85448

List of positive integer factors of 85448 that divides 85440 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 971, 1942, 3884, 7768, 10681, 21362, 42724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85440 and 85448. The biggest common factor number is the GCF number.
So the greatest common factor 85440 and 85448 is 8.

Also check out the Least Common Multiple of 85440 and 85448