What is the Greatest Common Factor of 62164 and 62184?

Greatest common factor (GCF) of 62164 and 62184 is 4.

GCF(62164,62184) = 4

We will now calculate the prime factors of 62164 and 62184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62164 and 62184.

How to find the GCF of 62164 and 62184?

We will first find the prime factorization of 62164 and 62184. After we will calculate the factors of 62164 and 62184 and find the biggest common factor number .

Step-1: Prime Factorization of 62164

Prime factors of 62164 are 2, 15541. Prime factorization of 62164 in exponential form is:

62164 = 2² × 15541¹

Step-2: 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-3: Factors of 62164

List of positive integer factors of 62164 that divides 62164 without a remainder.

1, 2, 4, 15541, 31082

Step-4: Factors of 62184

List of positive integer factors of 62184 that divides 62164 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62164 and 62184. The biggest common factor number is the GCF number.
So the greatest common factor 62164 and 62184 is 4.

Also check out the Least Common Multiple of 62164 and 62184