What is the Greatest Common Factor of 62448 and 62464?

Greatest common factor (GCF) of 62448 and 62464 is 16.

GCF(62448,62464) = 16

We will now calculate the prime factors of 62448 and 62464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62448 and 62464.

How to find the GCF of 62448 and 62464?

We will first find the prime factorization of 62448 and 62464. After we will calculate the factors of 62448 and 62464 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62464

Prime factors of 62464 are 2, 61. Prime factorization of 62464 in exponential form is:

62464 = 2¹⁰ × 61¹

Step-3: Factors of 62448

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

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

Step-4: Factors of 62464

List of positive integer factors of 62464 that divides 62448 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 512, 976, 1024, 1952, 3904, 7808, 15616, 31232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62448 and 62464. The biggest common factor number is the GCF number.
So the greatest common factor 62448 and 62464 is 16.

Also check out the Least Common Multiple of 62448 and 62464