What is the Greatest Common Factor of 62172 and 62184?

Greatest common factor (GCF) of 62172 and 62184 is 12.

GCF(62172,62184) = 12

We will now calculate the prime factors of 62172 and 62184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62172 and 62184.

How to find the GCF of 62172 and 62184?

We will first find the prime factorization of 62172 and 62184. After we will calculate the factors of 62172 and 62184 and find the biggest common factor number .

Step-1: Prime Factorization of 62172

Prime factors of 62172 are 2, 3, 11, 157. Prime factorization of 62172 in exponential form is:

62172 = 2² × 3² × 11¹ × 157¹

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 62172

List of positive integer factors of 62172 that divides 62172 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 157, 198, 314, 396, 471, 628, 942, 1413, 1727, 1884, 2826, 3454, 5181, 5652, 6908, 10362, 15543, 20724, 31086

Step-4: Factors of 62184

List of positive integer factors of 62184 that divides 62172 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 62172 and 62184. The biggest common factor number is the GCF number.
So the greatest common factor 62172 and 62184 is 12.

Also check out the Least Common Multiple of 62172 and 62184