What is the Greatest Common Factor of 84550 and 84570?

Greatest common factor (GCF) of 84550 and 84570 is 10.

GCF(84550,84570) = 10

We will now calculate the prime factors of 84550 and 84570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84550 and 84570.

How to find the GCF of 84550 and 84570?

We will first find the prime factorization of 84550 and 84570. After we will calculate the factors of 84550 and 84570 and find the biggest common factor number .

Step-1: Prime Factorization of 84550

Prime factors of 84550 are 2, 5, 19, 89. Prime factorization of 84550 in exponential form is:

84550 = 2¹ × 5² × 19¹ × 89¹

Step-2: Prime Factorization of 84570

Prime factors of 84570 are 2, 3, 5, 2819. Prime factorization of 84570 in exponential form is:

84570 = 2¹ × 3¹ × 5¹ × 2819¹

Step-3: Factors of 84550

List of positive integer factors of 84550 that divides 84550 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 89, 95, 178, 190, 445, 475, 890, 950, 1691, 2225, 3382, 4450, 8455, 16910, 42275

Step-4: Factors of 84570

List of positive integer factors of 84570 that divides 84550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2819, 5638, 8457, 14095, 16914, 28190, 42285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84550 and 84570. The biggest common factor number is the GCF number.
So the greatest common factor 84550 and 84570 is 10.

Also check out the Least Common Multiple of 84550 and 84570