What is the Greatest Common Factor of 59644 and 59648?

Greatest common factor (GCF) of 59644 and 59648 is 4.

GCF(59644,59648) = 4

We will now calculate the prime factors of 59644 and 59648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59644 and 59648.

How to find the GCF of 59644 and 59648?

We will first find the prime factorization of 59644 and 59648. After we will calculate the factors of 59644 and 59648 and find the biggest common factor number .

Step-1: Prime Factorization of 59644

Prime factors of 59644 are 2, 13, 31, 37. Prime factorization of 59644 in exponential form is:

59644 = 2² × 13¹ × 31¹ × 37¹

Step-2: Prime Factorization of 59648

Prime factors of 59648 are 2, 233. Prime factorization of 59648 in exponential form is:

59648 = 2⁸ × 233¹

Step-3: Factors of 59644

List of positive integer factors of 59644 that divides 59644 without a remainder.

1, 2, 4, 13, 26, 31, 37, 52, 62, 74, 124, 148, 403, 481, 806, 962, 1147, 1612, 1924, 2294, 4588, 14911, 29822

Step-4: Factors of 59648

List of positive integer factors of 59648 that divides 59644 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 233, 256, 466, 932, 1864, 3728, 7456, 14912, 29824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59644 and 59648. The biggest common factor number is the GCF number.
So the greatest common factor 59644 and 59648 is 4.

Also check out the Least Common Multiple of 59644 and 59648