What is the Greatest Common Factor of 83550 and 83564?

Greatest common factor (GCF) of 83550 and 83564 is 2.

GCF(83550,83564) = 2

We will now calculate the prime factors of 83550 and 83564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83550 and 83564.

How to find the GCF of 83550 and 83564?

We will first find the prime factorization of 83550 and 83564. After we will calculate the factors of 83550 and 83564 and find the biggest common factor number .

Step-1: Prime Factorization of 83550

Prime factors of 83550 are 2, 3, 5, 557. Prime factorization of 83550 in exponential form is:

83550 = 2¹ × 3¹ × 5² × 557¹

Step-2: Prime Factorization of 83564

Prime factors of 83564 are 2, 13, 1607. Prime factorization of 83564 in exponential form is:

83564 = 2² × 13¹ × 1607¹

Step-3: Factors of 83550

List of positive integer factors of 83550 that divides 83550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 557, 1114, 1671, 2785, 3342, 5570, 8355, 13925, 16710, 27850, 41775

Step-4: Factors of 83564

List of positive integer factors of 83564 that divides 83550 without a remainder.

1, 2, 4, 13, 26, 52, 1607, 3214, 6428, 20891, 41782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83550 and 83564. The biggest common factor number is the GCF number.
So the greatest common factor 83550 and 83564 is 2.

Also check out the Least Common Multiple of 83550 and 83564