What is the Greatest Common Factor of 59544 and 59562?

Greatest common factor (GCF) of 59544 and 59562 is 18.

GCF(59544,59562) = 18

We will now calculate the prime factors of 59544 and 59562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59544 and 59562.

How to find the GCF of 59544 and 59562?

We will first find the prime factorization of 59544 and 59562. After we will calculate the factors of 59544 and 59562 and find the biggest common factor number .

Step-1: Prime Factorization of 59544

Prime factors of 59544 are 2, 3, 827. Prime factorization of 59544 in exponential form is:

59544 = 2³ × 3² × 827¹

Step-2: Prime Factorization of 59562

Prime factors of 59562 are 2, 3, 1103. Prime factorization of 59562 in exponential form is:

59562 = 2¹ × 3³ × 1103¹

Step-3: Factors of 59544

List of positive integer factors of 59544 that divides 59544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 827, 1654, 2481, 3308, 4962, 6616, 7443, 9924, 14886, 19848, 29772

Step-4: Factors of 59562

List of positive integer factors of 59562 that divides 59544 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1103, 2206, 3309, 6618, 9927, 19854, 29781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59544 and 59562. The biggest common factor number is the GCF number.
So the greatest common factor 59544 and 59562 is 18.

Also check out the Least Common Multiple of 59544 and 59562