What is the Greatest Common Factor of 48916 and 48930?

Greatest common factor (GCF) of 48916 and 48930 is 14.

GCF(48916,48930) = 14

We will now calculate the prime factors of 48916 and 48930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48916 and 48930.

How to find the GCF of 48916 and 48930?

We will first find the prime factorization of 48916 and 48930. After we will calculate the factors of 48916 and 48930 and find the biggest common factor number .

Step-1: Prime Factorization of 48916

Prime factors of 48916 are 2, 7, 1747. Prime factorization of 48916 in exponential form is:

48916 = 2² × 7¹ × 1747¹

Step-2: Prime Factorization of 48930

Prime factors of 48930 are 2, 3, 5, 7, 233. Prime factorization of 48930 in exponential form is:

48930 = 2¹ × 3¹ × 5¹ × 7¹ × 233¹

Step-3: Factors of 48916

List of positive integer factors of 48916 that divides 48916 without a remainder.

1, 2, 4, 7, 14, 28, 1747, 3494, 6988, 12229, 24458

Step-4: Factors of 48930

List of positive integer factors of 48930 that divides 48916 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 233, 466, 699, 1165, 1398, 1631, 2330, 3262, 3495, 4893, 6990, 8155, 9786, 16310, 24465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48916 and 48930. The biggest common factor number is the GCF number.
So the greatest common factor 48916 and 48930 is 14.

Also check out the Least Common Multiple of 48916 and 48930