What is the Greatest Common Factor of 48608 and 48622?

Greatest common factor (GCF) of 48608 and 48622 is 14.

GCF(48608,48622) = 14

We will now calculate the prime factors of 48608 and 48622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48608 and 48622.

How to find the GCF of 48608 and 48622?

We will first find the prime factorization of 48608 and 48622. After we will calculate the factors of 48608 and 48622 and find the biggest common factor number .

Step-1: Prime Factorization of 48608

Prime factors of 48608 are 2, 7, 31. Prime factorization of 48608 in exponential form is:

48608 = 2⁵ × 7² × 31¹

Step-2: Prime Factorization of 48622

Prime factors of 48622 are 2, 7, 23, 151. Prime factorization of 48622 in exponential form is:

48622 = 2¹ × 7¹ × 23¹ × 151¹

Step-3: Factors of 48608

List of positive integer factors of 48608 that divides 48608 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 49, 56, 62, 98, 112, 124, 196, 217, 224, 248, 392, 434, 496, 784, 868, 992, 1519, 1568, 1736, 3038, 3472, 6076, 6944, 12152, 24304

Step-4: Factors of 48622

List of positive integer factors of 48622 that divides 48608 without a remainder.

1, 2, 7, 14, 23, 46, 151, 161, 302, 322, 1057, 2114, 3473, 6946, 24311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48608 and 48622. The biggest common factor number is the GCF number.
So the greatest common factor 48608 and 48622 is 14.

Also check out the Least Common Multiple of 48608 and 48622