What is the Greatest Common Factor of 59632 and 59644?

Greatest common factor (GCF) of 59632 and 59644 is 4.

GCF(59632,59644) = 4

We will now calculate the prime factors of 59632 and 59644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59632 and 59644.

How to find the GCF of 59632 and 59644?

We will first find the prime factorization of 59632 and 59644. After we will calculate the factors of 59632 and 59644 and find the biggest common factor number .

Step-1: Prime Factorization of 59632

Prime factors of 59632 are 2, 3727. Prime factorization of 59632 in exponential form is:

59632 = 2⁴ × 3727¹

Step-2: 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-3: Factors of 59632

List of positive integer factors of 59632 that divides 59632 without a remainder.

1, 2, 4, 8, 16, 3727, 7454, 14908, 29816

Step-4: Factors of 59644

List of positive integer factors of 59644 that divides 59632 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59632 and 59644. The biggest common factor number is the GCF number.
So the greatest common factor 59632 and 59644 is 4.

Also check out the Least Common Multiple of 59632 and 59644