What is the Greatest Common Factor of 62428 and 62448?

Greatest common factor (GCF) of 62428 and 62448 is 4.

GCF(62428,62448) = 4

We will now calculate the prime factors of 62428 and 62448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62428 and 62448.

How to find the GCF of 62428 and 62448?

We will first find the prime factorization of 62428 and 62448. After we will calculate the factors of 62428 and 62448 and find the biggest common factor number .

Step-1: Prime Factorization of 62428

Prime factors of 62428 are 2, 15607. Prime factorization of 62428 in exponential form is:

62428 = 2² × 15607¹

Step-2: Prime Factorization of 62448

Prime factors of 62448 are 2, 3, 1301. Prime factorization of 62448 in exponential form is:

62448 = 2⁴ × 3¹ × 1301¹

Step-3: Factors of 62428

List of positive integer factors of 62428 that divides 62428 without a remainder.

1, 2, 4, 15607, 31214

Step-4: Factors of 62448

List of positive integer factors of 62448 that divides 62428 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1301, 2602, 3903, 5204, 7806, 10408, 15612, 20816, 31224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62428 and 62448. The biggest common factor number is the GCF number.
So the greatest common factor 62428 and 62448 is 4.

Also check out the Least Common Multiple of 62428 and 62448