What is the Greatest Common Factor of 62144 and 62148?

Greatest common factor (GCF) of 62144 and 62148 is 4.

GCF(62144,62148) = 4

We will now calculate the prime factors of 62144 and 62148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62144 and 62148.

How to find the GCF of 62144 and 62148?

We will first find the prime factorization of 62144 and 62148. After we will calculate the factors of 62144 and 62148 and find the biggest common factor number .

Step-1: Prime Factorization of 62144

Prime factors of 62144 are 2, 971. Prime factorization of 62144 in exponential form is:

62144 = 2⁶ × 971¹

Step-2: 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-3: Factors of 62144

List of positive integer factors of 62144 that divides 62144 without a remainder.

1, 2, 4, 8, 16, 32, 64, 971, 1942, 3884, 7768, 15536, 31072

Step-4: Factors of 62148

List of positive integer factors of 62148 that divides 62144 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62144 and 62148. The biggest common factor number is the GCF number.
So the greatest common factor 62144 and 62148 is 4.

Also check out the Least Common Multiple of 62144 and 62148