What is the Greatest Common Factor of 86524 and 86536?

Greatest common factor (GCF) of 86524 and 86536 is 4.

GCF(86524,86536) = 4

We will now calculate the prime factors of 86524 and 86536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86524 and 86536.

How to find the GCF of 86524 and 86536?

We will first find the prime factorization of 86524 and 86536. After we will calculate the factors of 86524 and 86536 and find the biggest common factor number .

Step-1: Prime Factorization of 86524

Prime factors of 86524 are 2, 97, 223. Prime factorization of 86524 in exponential form is:

86524 = 2² × 97¹ × 223¹

Step-2: Prime Factorization of 86536

Prime factors of 86536 are 2, 29, 373. Prime factorization of 86536 in exponential form is:

86536 = 2³ × 29¹ × 373¹

Step-3: Factors of 86524

List of positive integer factors of 86524 that divides 86524 without a remainder.

1, 2, 4, 97, 194, 223, 388, 446, 892, 21631, 43262

Step-4: Factors of 86536

List of positive integer factors of 86536 that divides 86524 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 373, 746, 1492, 2984, 10817, 21634, 43268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86524 and 86536. The biggest common factor number is the GCF number.
So the greatest common factor 86524 and 86536 is 4.

Also check out the Least Common Multiple of 86524 and 86536