What is the Greatest Common Factor of 47624 and 47641?

Greatest common factor (GCF) of 47624 and 47641 is 1.

GCF(47624,47641) = 1

We will now calculate the prime factors of 47624 and 47641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47624 and 47641.

How to find the GCF of 47624 and 47641?

We will first find the prime factorization of 47624 and 47641. After we will calculate the factors of 47624 and 47641 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 47641

Prime factors of 47641 are 11, 61, 71. Prime factorization of 47641 in exponential form is:

47641 = 11¹ × 61¹ × 71¹

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 47641

List of positive integer factors of 47641 that divides 47624 without a remainder.

1, 11, 61, 71, 671, 781, 4331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47624 and 47641. The biggest common factor number is the GCF number.
So the greatest common factor 47624 and 47641 is 1.

Also check out the Least Common Multiple of 47624 and 47641