What is the Greatest Common Factor of 47624 and 47630?

Greatest common factor (GCF) of 47624 and 47630 is 2.

GCF(47624,47630) = 2

We will now calculate the prime factors of 47624 and 47630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47624 and 47630.

How to find the GCF of 47624 and 47630?

We will first find the prime factorization of 47624 and 47630. After we will calculate the factors of 47624 and 47630 and find the biggest common factor number .

Step-1: Prime Factorization of 47624

Prime factors of 47624 are 2, 5953. Prime factorization of 47624 in exponential form is:

47624 = 2³ × 5953¹

Step-2: 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-3: Factors of 47624

List of positive integer factors of 47624 that divides 47624 without a remainder.

1, 2, 4, 8, 5953, 11906, 23812

Step-4: Factors of 47630

List of positive integer factors of 47630 that divides 47624 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47624 and 47630. The biggest common factor number is the GCF number.
So the greatest common factor 47624 and 47630 is 2.

Also check out the Least Common Multiple of 47624 and 47630