What is the Greatest Common Factor of 8524 and 8536?

Greatest common factor (GCF) of 8524 and 8536 is 4.

GCF(8524,8536) = 4

We will now calculate the prime factors of 8524 and 8536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8524 and 8536.

How to find the GCF of 8524 and 8536?

We will first find the prime factorization of 8524 and 8536. After we will calculate the factors of 8524 and 8536 and find the biggest common factor number .

Step-1: Prime Factorization of 8524

Prime factors of 8524 are 2, 2131. Prime factorization of 8524 in exponential form is:

8524 = 2² × 2131¹

Step-2: Prime Factorization of 8536

Prime factors of 8536 are 2, 11, 97. Prime factorization of 8536 in exponential form is:

8536 = 2³ × 11¹ × 97¹

Step-3: Factors of 8524

List of positive integer factors of 8524 that divides 8524 without a remainder.

1, 2, 4, 2131, 4262

Step-4: Factors of 8536

List of positive integer factors of 8536 that divides 8524 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8524 and 8536. The biggest common factor number is the GCF number.
So the greatest common factor 8524 and 8536 is 4.

Also check out the Least Common Multiple of 8524 and 8536