What is the Greatest Common Factor of 77536 and 77556?

Greatest common factor (GCF) of 77536 and 77556 is 4.

GCF(77536,77556) = 4

We will now calculate the prime factors of 77536 and 77556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77536 and 77556.

How to find the GCF of 77536 and 77556?

We will first find the prime factorization of 77536 and 77556. After we will calculate the factors of 77536 and 77556 and find the biggest common factor number .

Step-1: Prime Factorization of 77536

Prime factors of 77536 are 2, 2423. Prime factorization of 77536 in exponential form is:

77536 = 2⁵ × 2423¹

Step-2: Prime Factorization of 77556

Prime factors of 77556 are 2, 3, 23, 281. Prime factorization of 77556 in exponential form is:

77556 = 2² × 3¹ × 23¹ × 281¹

Step-3: Factors of 77536

List of positive integer factors of 77536 that divides 77536 without a remainder.

1, 2, 4, 8, 16, 32, 2423, 4846, 9692, 19384, 38768

Step-4: Factors of 77556

List of positive integer factors of 77556 that divides 77536 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 281, 562, 843, 1124, 1686, 3372, 6463, 12926, 19389, 25852, 38778

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77536 and 77556. The biggest common factor number is the GCF number.
So the greatest common factor 77536 and 77556 is 4.

Also check out the Least Common Multiple of 77536 and 77556