What is the Greatest Common Factor of 85440 and 85452?

Greatest common factor (GCF) of 85440 and 85452 is 12.

GCF(85440,85452) = 12

We will now calculate the prime factors of 85440 and 85452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85440 and 85452.

How to find the GCF of 85440 and 85452?

We will first find the prime factorization of 85440 and 85452. After we will calculate the factors of 85440 and 85452 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 85452

Prime factors of 85452 are 2, 3, 7121. Prime factorization of 85452 in exponential form is:

85452 = 2² × 3¹ × 7121¹

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 85452

List of positive integer factors of 85452 that divides 85440 without a remainder.

1, 2, 3, 4, 6, 12, 7121, 14242, 21363, 28484, 42726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85440 and 85452. The biggest common factor number is the GCF number.
So the greatest common factor 85440 and 85452 is 12.

Also check out the Least Common Multiple of 85440 and 85452