What is the Greatest Common Factor of 47641 and 47648?

Greatest common factor (GCF) of 47641 and 47648 is 1.

GCF(47641,47648) = 1

We will now calculate the prime factors of 47641 and 47648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47641 and 47648.

How to find the GCF of 47641 and 47648?

We will first find the prime factorization of 47641 and 47648. After we will calculate the factors of 47641 and 47648 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47648

Prime factors of 47648 are 2, 1489. Prime factorization of 47648 in exponential form is:

47648 = 2⁵ × 1489¹

Step-3: Factors of 47641

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

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

Step-4: Factors of 47648

List of positive integer factors of 47648 that divides 47641 without a remainder.

1, 2, 4, 8, 16, 32, 1489, 2978, 5956, 11912, 23824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47641 and 47648. The biggest common factor number is the GCF number.
So the greatest common factor 47641 and 47648 is 1.

Also check out the Least Common Multiple of 47641 and 47648