What is the Greatest Common Factor of 48930 and 48940?

Greatest common factor (GCF) of 48930 and 48940 is 10.

GCF(48930,48940) = 10

We will now calculate the prime factors of 48930 and 48940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48930 and 48940.

How to find the GCF of 48930 and 48940?

We will first find the prime factorization of 48930 and 48940. After we will calculate the factors of 48930 and 48940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48940

Prime factors of 48940 are 2, 5, 2447. Prime factorization of 48940 in exponential form is:

48940 = 2² × 5¹ × 2447¹

Step-3: Factors of 48930

List of positive integer factors of 48930 that divides 48930 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

Step-4: Factors of 48940

List of positive integer factors of 48940 that divides 48930 without a remainder.

1, 2, 4, 5, 10, 20, 2447, 4894, 9788, 12235, 24470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48930 and 48940. The biggest common factor number is the GCF number.
So the greatest common factor 48930 and 48940 is 10.

Also check out the Least Common Multiple of 48930 and 48940