What is the Greatest Common Factor of 47630 and 47640?

Greatest common factor (GCF) of 47630 and 47640 is 10.

GCF(47630,47640) = 10

We will now calculate the prime factors of 47630 and 47640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47630 and 47640.

How to find the GCF of 47630 and 47640?

We will first find the prime factorization of 47630 and 47640. After we will calculate the factors of 47630 and 47640 and find the biggest common factor number .

Step-1: Prime Factorization of 47630

Prime factors of 47630 are 2, 5, 11, 433. Prime factorization of 47630 in exponential form is:

47630 = 2¹ × 5¹ × 11¹ × 433¹

Step-2: 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-3: Factors of 47630

List of positive integer factors of 47630 that divides 47630 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 433, 866, 2165, 4330, 4763, 9526, 23815

Step-4: Factors of 47640

List of positive integer factors of 47640 that divides 47630 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47630 and 47640. The biggest common factor number is the GCF number.
So the greatest common factor 47630 and 47640 is 10.

Also check out the Least Common Multiple of 47630 and 47640