What is the Greatest Common Factor of 85435 and 85440?

Greatest common factor (GCF) of 85435 and 85440 is 5.

GCF(85435,85440) = 5

We will now calculate the prime factors of 85435 and 85440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85435 and 85440.

How to find the GCF of 85435 and 85440?

We will first find the prime factorization of 85435 and 85440. After we will calculate the factors of 85435 and 85440 and find the biggest common factor number .

Step-1: Prime Factorization of 85435

Prime factors of 85435 are 5, 7, 2441. Prime factorization of 85435 in exponential form is:

85435 = 5¹ × 7¹ × 2441¹

Step-2: 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-3: Factors of 85435

List of positive integer factors of 85435 that divides 85435 without a remainder.

1, 5, 7, 35, 2441, 12205, 17087

Step-4: Factors of 85440

List of positive integer factors of 85440 that divides 85435 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85435 and 85440. The biggest common factor number is the GCF number.
So the greatest common factor 85435 and 85440 is 5.

Also check out the Least Common Multiple of 85435 and 85440