What is the Greatest Common Factor of 84531 and 84550?

Greatest common factor (GCF) of 84531 and 84550 is 19.

GCF(84531,84550) = 19

We will now calculate the prime factors of 84531 and 84550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84531 and 84550.

How to find the GCF of 84531 and 84550?

We will first find the prime factorization of 84531 and 84550. After we will calculate the factors of 84531 and 84550 and find the biggest common factor number .

Step-1: Prime Factorization of 84531

Prime factors of 84531 are 3, 19, 1483. Prime factorization of 84531 in exponential form is:

84531 = 3¹ × 19¹ × 1483¹

Step-2: 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-3: Factors of 84531

List of positive integer factors of 84531 that divides 84531 without a remainder.

1, 3, 19, 57, 1483, 4449, 28177

Step-4: Factors of 84550

List of positive integer factors of 84550 that divides 84531 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84531 and 84550. The biggest common factor number is the GCF number.
So the greatest common factor 84531 and 84550 is 19.

Also check out the Least Common Multiple of 84531 and 84550