What is the Greatest Common Factor of 62440 and 62448?

Greatest common factor (GCF) of 62440 and 62448 is 8.

GCF(62440,62448) = 8

We will now calculate the prime factors of 62440 and 62448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62440 and 62448.

How to find the GCF of 62440 and 62448?

We will first find the prime factorization of 62440 and 62448. After we will calculate the factors of 62440 and 62448 and find the biggest common factor number .

Step-1: Prime Factorization of 62440

Prime factors of 62440 are 2, 5, 7, 223. Prime factorization of 62440 in exponential form is:

62440 = 2³ × 5¹ × 7¹ × 223¹

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 62440

List of positive integer factors of 62440 that divides 62440 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 223, 280, 446, 892, 1115, 1561, 1784, 2230, 3122, 4460, 6244, 7805, 8920, 12488, 15610, 31220

Step-4: Factors of 62448

List of positive integer factors of 62448 that divides 62440 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 62440 and 62448. The biggest common factor number is the GCF number.
So the greatest common factor 62440 and 62448 is 8.

Also check out the Least Common Multiple of 62440 and 62448