What is the Greatest Common Factor of 48930 and 48945?

Greatest common factor (GCF) of 48930 and 48945 is 15.

GCF(48930,48945) = 15

We will now calculate the prime factors of 48930 and 48945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48930 and 48945.

How to find the GCF of 48930 and 48945?

We will first find the prime factorization of 48930 and 48945. After we will calculate the factors of 48930 and 48945 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 48945

Prime factors of 48945 are 3, 5, 13, 251. Prime factorization of 48945 in exponential form is:

48945 = 3¹ × 5¹ × 13¹ × 251¹

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 48945

List of positive integer factors of 48945 that divides 48930 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 251, 753, 1255, 3263, 3765, 9789, 16315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48930 and 48945. The biggest common factor number is the GCF number.
So the greatest common factor 48930 and 48945 is 15.

Also check out the Least Common Multiple of 48930 and 48945