What is the Greatest Common Factor of 62434 and 62448?

Greatest common factor (GCF) of 62434 and 62448 is 2.

GCF(62434,62448) = 2

We will now calculate the prime factors of 62434 and 62448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62434 and 62448.

How to find the GCF of 62434 and 62448?

We will first find the prime factorization of 62434 and 62448. After we will calculate the factors of 62434 and 62448 and find the biggest common factor number .

Step-1: Prime Factorization of 62434

Prime factors of 62434 are 2, 19, 31, 53. Prime factorization of 62434 in exponential form is:

62434 = 2¹ × 19¹ × 31¹ × 53¹

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 62434

List of positive integer factors of 62434 that divides 62434 without a remainder.

1, 2, 19, 31, 38, 53, 62, 106, 589, 1007, 1178, 1643, 2014, 3286, 31217

Step-4: Factors of 62448

List of positive integer factors of 62448 that divides 62434 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 62434 and 62448. The biggest common factor number is the GCF number.
So the greatest common factor 62434 and 62448 is 2.

Also check out the Least Common Multiple of 62434 and 62448