What is the Greatest Common Factor of 85574 and 85580?

Greatest common factor (GCF) of 85574 and 85580 is 2.

GCF(85574,85580) = 2

We will now calculate the prime factors of 85574 and 85580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85574 and 85580.

How to find the GCF of 85574 and 85580?

We will first find the prime factorization of 85574 and 85580. After we will calculate the factors of 85574 and 85580 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 85580

Prime factors of 85580 are 2, 5, 11, 389. Prime factorization of 85580 in exponential form is:

85580 = 2² × 5¹ × 11¹ × 389¹

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 85580

List of positive integer factors of 85580 that divides 85574 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 389, 778, 1556, 1945, 3890, 4279, 7780, 8558, 17116, 21395, 42790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85574 and 85580. The biggest common factor number is the GCF number.
So the greatest common factor 85574 and 85580 is 2.

Also check out the Least Common Multiple of 85574 and 85580