What is the Greatest Common Factor of 85574 and 85585?

Greatest common factor (GCF) of 85574 and 85585 is 1.

GCF(85574,85585) = 1

We will now calculate the prime factors of 85574 and 85585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85574 and 85585.

How to find the GCF of 85574 and 85585?

We will first find the prime factorization of 85574 and 85585. After we will calculate the factors of 85574 and 85585 and find the biggest common factor number .

Step-1: Prime Factorization of 85574

Prime factors of 85574 are 2, 42787. Prime factorization of 85574 in exponential form is:

85574 = 2¹ × 42787¹

Step-2: Prime Factorization of 85585

Prime factors of 85585 are 5, 17117. Prime factorization of 85585 in exponential form is:

85585 = 5¹ × 17117¹

Step-3: Factors of 85574

List of positive integer factors of 85574 that divides 85574 without a remainder.

1, 2, 42787

Step-4: Factors of 85585

List of positive integer factors of 85585 that divides 85574 without a remainder.

1, 5, 17117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85574 and 85585. The biggest common factor number is the GCF number.
So the greatest common factor 85574 and 85585 is 1.

Also check out the Least Common Multiple of 85574 and 85585