What is the Greatest Common Factor of 47640 and 47650?

Greatest common factor (GCF) of 47640 and 47650 is 10.

GCF(47640,47650) = 10

We will now calculate the prime factors of 47640 and 47650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47640 and 47650.

How to find the GCF of 47640 and 47650?

We will first find the prime factorization of 47640 and 47650. After we will calculate the factors of 47640 and 47650 and find the biggest common factor number .

Step-1: Prime Factorization of 47640

Prime factors of 47640 are 2, 3, 5, 397. Prime factorization of 47640 in exponential form is:

47640 = 2³ × 3¹ × 5¹ × 397¹

Step-2: Prime Factorization of 47650

Prime factors of 47650 are 2, 5, 953. Prime factorization of 47650 in exponential form is:

47650 = 2¹ × 5² × 953¹

Step-3: Factors of 47640

List of positive integer factors of 47640 that divides 47640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 397, 794, 1191, 1588, 1985, 2382, 3176, 3970, 4764, 5955, 7940, 9528, 11910, 15880, 23820

Step-4: Factors of 47650

List of positive integer factors of 47650 that divides 47640 without a remainder.

1, 2, 5, 10, 25, 50, 953, 1906, 4765, 9530, 23825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47640 and 47650. The biggest common factor number is the GCF number.
So the greatest common factor 47640 and 47650 is 10.

Also check out the Least Common Multiple of 47640 and 47650