What is the Greatest Common Factor of 57644 and 57648?

Greatest common factor (GCF) of 57644 and 57648 is 4.

GCF(57644,57648) = 4

We will now calculate the prime factors of 57644 and 57648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57644 and 57648.

How to find the GCF of 57644 and 57648?

We will first find the prime factorization of 57644 and 57648. After we will calculate the factors of 57644 and 57648 and find the biggest common factor number .

Step-1: Prime Factorization of 57644

Prime factors of 57644 are 2, 14411. Prime factorization of 57644 in exponential form is:

57644 = 2² × 14411¹

Step-2: Prime Factorization of 57648

Prime factors of 57648 are 2, 3, 1201. Prime factorization of 57648 in exponential form is:

57648 = 2⁴ × 3¹ × 1201¹

Step-3: Factors of 57644

List of positive integer factors of 57644 that divides 57644 without a remainder.

1, 2, 4, 14411, 28822

Step-4: Factors of 57648

List of positive integer factors of 57648 that divides 57644 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1201, 2402, 3603, 4804, 7206, 9608, 14412, 19216, 28824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57644 and 57648. The biggest common factor number is the GCF number.
So the greatest common factor 57644 and 57648 is 4.

Also check out the Least Common Multiple of 57644 and 57648