What is the Greatest Common Factor of 59628 and 59643?

Greatest common factor (GCF) of 59628 and 59643 is 3.

GCF(59628,59643) = 3

We will now calculate the prime factors of 59628 and 59643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59628 and 59643.

How to find the GCF of 59628 and 59643?

We will first find the prime factorization of 59628 and 59643. After we will calculate the factors of 59628 and 59643 and find the biggest common factor number .

Step-1: Prime Factorization of 59628

Prime factors of 59628 are 2, 3, 4969. Prime factorization of 59628 in exponential form is:

59628 = 2² × 3¹ × 4969¹

Step-2: Prime Factorization of 59643

Prime factors of 59643 are 3, 47. Prime factorization of 59643 in exponential form is:

59643 = 3³ × 47²

Step-3: Factors of 59628

List of positive integer factors of 59628 that divides 59628 without a remainder.

1, 2, 3, 4, 6, 12, 4969, 9938, 14907, 19876, 29814

Step-4: Factors of 59643

List of positive integer factors of 59643 that divides 59628 without a remainder.

1, 3, 9, 27, 47, 141, 423, 1269, 2209, 6627, 19881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59628 and 59643. The biggest common factor number is the GCF number.
So the greatest common factor 59628 and 59643 is 3.

Also check out the Least Common Multiple of 59628 and 59643