What is the Greatest Common Factor of 65562 and 65577?

Greatest common factor (GCF) of 65562 and 65577 is 3.

GCF(65562,65577) = 3

We will now calculate the prime factors of 65562 and 65577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65562 and 65577.

How to find the GCF of 65562 and 65577?

We will first find the prime factorization of 65562 and 65577. After we will calculate the factors of 65562 and 65577 and find the biggest common factor number .

Step-1: Prime Factorization of 65562

Prime factors of 65562 are 2, 3, 7, 223. Prime factorization of 65562 in exponential form is:

65562 = 2¹ × 3¹ × 7² × 223¹

Step-2: Prime Factorization of 65577

Prime factors of 65577 are 3, 21859. Prime factorization of 65577 in exponential form is:

65577 = 3¹ × 21859¹

Step-3: Factors of 65562

List of positive integer factors of 65562 that divides 65562 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 223, 294, 446, 669, 1338, 1561, 3122, 4683, 9366, 10927, 21854, 32781

Step-4: Factors of 65577

List of positive integer factors of 65577 that divides 65562 without a remainder.

1, 3, 21859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65562 and 65577. The biggest common factor number is the GCF number.
So the greatest common factor 65562 and 65577 is 3.

Also check out the Least Common Multiple of 65562 and 65577