What is the Greatest Common Factor of 77562 and 77566?

Greatest common factor (GCF) of 77562 and 77566 is 2.

GCF(77562,77566) = 2

We will now calculate the prime factors of 77562 and 77566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77562 and 77566.

How to find the GCF of 77562 and 77566?

We will first find the prime factorization of 77562 and 77566. After we will calculate the factors of 77562 and 77566 and find the biggest common factor number .

Step-1: Prime Factorization of 77562

Prime factors of 77562 are 2, 3, 31, 139. Prime factorization of 77562 in exponential form is:

77562 = 2¹ × 3² × 31¹ × 139¹

Step-2: Prime Factorization of 77566

Prime factors of 77566 are 2, 38783. Prime factorization of 77566 in exponential form is:

77566 = 2¹ × 38783¹

Step-3: Factors of 77562

List of positive integer factors of 77562 that divides 77562 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 139, 186, 278, 279, 417, 558, 834, 1251, 2502, 4309, 8618, 12927, 25854, 38781

Step-4: Factors of 77566

List of positive integer factors of 77566 that divides 77562 without a remainder.

1, 2, 38783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77562 and 77566. The biggest common factor number is the GCF number.
So the greatest common factor 77562 and 77566 is 2.

Also check out the Least Common Multiple of 77562 and 77566