What is the Greatest Common Factor of 48914 and 48930?

Greatest common factor (GCF) of 48914 and 48930 is 2.

GCF(48914,48930) = 2

We will now calculate the prime factors of 48914 and 48930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48914 and 48930.

How to find the GCF of 48914 and 48930?

We will first find the prime factorization of 48914 and 48930. After we will calculate the factors of 48914 and 48930 and find the biggest common factor number .

Step-1: Prime Factorization of 48914

Prime factors of 48914 are 2, 37, 661. Prime factorization of 48914 in exponential form is:

48914 = 2¹ × 37¹ × 661¹

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 48914

List of positive integer factors of 48914 that divides 48914 without a remainder.

1, 2, 37, 74, 661, 1322, 24457

Step-4: Factors of 48930

List of positive integer factors of 48930 that divides 48914 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 48914 and 48930. The biggest common factor number is the GCF number.
So the greatest common factor 48914 and 48930 is 2.

Also check out the Least Common Multiple of 48914 and 48930