What is the Greatest Common Factor of 36076 and 36092?

Greatest common factor (GCF) of 36076 and 36092 is 4.

GCF(36076,36092) = 4

We will now calculate the prime factors of 36076 and 36092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36076 and 36092.

How to find the GCF of 36076 and 36092?

We will first find the prime factorization of 36076 and 36092. After we will calculate the factors of 36076 and 36092 and find the biggest common factor number .

Step-1: Prime Factorization of 36076

Prime factors of 36076 are 2, 29, 311. Prime factorization of 36076 in exponential form is:

36076 = 2² × 29¹ × 311¹

Step-2: Prime Factorization of 36092

Prime factors of 36092 are 2, 7, 1289. Prime factorization of 36092 in exponential form is:

36092 = 2² × 7¹ × 1289¹

Step-3: Factors of 36076

List of positive integer factors of 36076 that divides 36076 without a remainder.

1, 2, 4, 29, 58, 116, 311, 622, 1244, 9019, 18038

Step-4: Factors of 36092

List of positive integer factors of 36092 that divides 36076 without a remainder.

1, 2, 4, 7, 14, 28, 1289, 2578, 5156, 9023, 18046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36076 and 36092. The biggest common factor number is the GCF number.
So the greatest common factor 36076 and 36092 is 4.

Also check out the Least Common Multiple of 36076 and 36092