What is the Greatest Common Factor of 85424 and 85435?

Greatest common factor (GCF) of 85424 and 85435 is 1.

GCF(85424,85435) = 1

We will now calculate the prime factors of 85424 and 85435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85424 and 85435.

How to find the GCF of 85424 and 85435?

We will first find the prime factorization of 85424 and 85435. After we will calculate the factors of 85424 and 85435 and find the biggest common factor number .

Step-1: Prime Factorization of 85424

Prime factors of 85424 are 2, 19, 281. Prime factorization of 85424 in exponential form is:

85424 = 2⁴ × 19¹ × 281¹

Step-2: 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-3: Factors of 85424

List of positive integer factors of 85424 that divides 85424 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 281, 304, 562, 1124, 2248, 4496, 5339, 10678, 21356, 42712

Step-4: Factors of 85435

List of positive integer factors of 85435 that divides 85424 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85424 and 85435. The biggest common factor number is the GCF number.
So the greatest common factor 85424 and 85435 is 1.

Also check out the Least Common Multiple of 85424 and 85435