What is the Greatest Common Factor of 62184 and 62203?

Greatest common factor (GCF) of 62184 and 62203 is 1.

GCF(62184,62203) = 1

We will now calculate the prime factors of 62184 and 62203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62184 and 62203.

How to find the GCF of 62184 and 62203?

We will first find the prime factorization of 62184 and 62203. After we will calculate the factors of 62184 and 62203 and find the biggest common factor number .

Step-1: Prime Factorization of 62184

Prime factors of 62184 are 2, 3, 2591. Prime factorization of 62184 in exponential form is:

62184 = 2³ × 3¹ × 2591¹

Step-2: Prime Factorization of 62203

Prime factors of 62203 are 17, 3659. Prime factorization of 62203 in exponential form is:

62203 = 17¹ × 3659¹

Step-3: Factors of 62184

List of positive integer factors of 62184 that divides 62184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2591, 5182, 7773, 10364, 15546, 20728, 31092

Step-4: Factors of 62203

List of positive integer factors of 62203 that divides 62184 without a remainder.

1, 17, 3659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62184 and 62203. The biggest common factor number is the GCF number.
So the greatest common factor 62184 and 62203 is 1.

Also check out the Least Common Multiple of 62184 and 62203