What is the Greatest Common Factor of 62148 and 62154?

Greatest common factor (GCF) of 62148 and 62154 is 6.

GCF(62148,62154) = 6

We will now calculate the prime factors of 62148 and 62154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62148 and 62154.

How to find the GCF of 62148 and 62154?

We will first find the prime factorization of 62148 and 62154. After we will calculate the factors of 62148 and 62154 and find the biggest common factor number .

Step-1: Prime Factorization of 62148

Prime factors of 62148 are 2, 3, 5179. Prime factorization of 62148 in exponential form is:

62148 = 2² × 3¹ × 5179¹

Step-2: Prime Factorization of 62154

Prime factors of 62154 are 2, 3, 1151. Prime factorization of 62154 in exponential form is:

62154 = 2¹ × 3³ × 1151¹

Step-3: Factors of 62148

List of positive integer factors of 62148 that divides 62148 without a remainder.

1, 2, 3, 4, 6, 12, 5179, 10358, 15537, 20716, 31074

Step-4: Factors of 62154

List of positive integer factors of 62154 that divides 62148 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1151, 2302, 3453, 6906, 10359, 20718, 31077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62148 and 62154. The biggest common factor number is the GCF number.
So the greatest common factor 62148 and 62154 is 6.

Also check out the Least Common Multiple of 62148 and 62154