What is the Greatest Common Factor of 59562 and 59577?

Greatest common factor (GCF) of 59562 and 59577 is 3.

GCF(59562,59577) = 3

We will now calculate the prime factors of 59562 and 59577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59562 and 59577.

How to find the GCF of 59562 and 59577?

We will first find the prime factorization of 59562 and 59577. After we will calculate the factors of 59562 and 59577 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59577

Prime factors of 59577 are 3, 7, 2837. Prime factorization of 59577 in exponential form is:

59577 = 3¹ × 7¹ × 2837¹

Step-3: Factors of 59562

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

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

Step-4: Factors of 59577

List of positive integer factors of 59577 that divides 59562 without a remainder.

1, 3, 7, 21, 2837, 8511, 19859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59562 and 59577. The biggest common factor number is the GCF number.
So the greatest common factor 59562 and 59577 is 3.

Also check out the Least Common Multiple of 59562 and 59577