What is the Greatest Common Factor of 85574 and 85584?

Greatest common factor (GCF) of 85574 and 85584 is 2.

GCF(85574,85584) = 2

We will now calculate the prime factors of 85574 and 85584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85574 and 85584.

How to find the GCF of 85574 and 85584?

We will first find the prime factorization of 85574 and 85584. After we will calculate the factors of 85574 and 85584 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 85584

Prime factors of 85584 are 2, 3, 1783. Prime factorization of 85584 in exponential form is:

85584 = 2⁴ × 3¹ × 1783¹

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 85584

List of positive integer factors of 85584 that divides 85574 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1783, 3566, 5349, 7132, 10698, 14264, 21396, 28528, 42792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85574 and 85584. The biggest common factor number is the GCF number.
So the greatest common factor 85574 and 85584 is 2.

Also check out the Least Common Multiple of 85574 and 85584