What is the Greatest Common Factor of 42496 and 42516?

Greatest common factor (GCF) of 42496 and 42516 is 4.

GCF(42496,42516) = 4

We will now calculate the prime factors of 42496 and 42516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42496 and 42516.

How to find the GCF of 42496 and 42516?

We will first find the prime factorization of 42496 and 42516. After we will calculate the factors of 42496 and 42516 and find the biggest common factor number .

Step-1: Prime Factorization of 42496

Prime factors of 42496 are 2, 83. Prime factorization of 42496 in exponential form is:

42496 = 2⁹ × 83¹

Step-2: Prime Factorization of 42516

Prime factors of 42516 are 2, 3, 1181. Prime factorization of 42516 in exponential form is:

42516 = 2² × 3² × 1181¹

Step-3: Factors of 42496

List of positive integer factors of 42496 that divides 42496 without a remainder.

1, 2, 4, 8, 16, 32, 64, 83, 128, 166, 256, 332, 512, 664, 1328, 2656, 5312, 10624, 21248

Step-4: Factors of 42516

List of positive integer factors of 42516 that divides 42496 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1181, 2362, 3543, 4724, 7086, 10629, 14172, 21258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42496 and 42516. The biggest common factor number is the GCF number.
So the greatest common factor 42496 and 42516 is 4.

Also check out the Least Common Multiple of 42496 and 42516