What is the Greatest Common Factor of 36364 and 36372?

Greatest common factor (GCF) of 36364 and 36372 is 4.

GCF(36364,36372) = 4

We will now calculate the prime factors of 36364 and 36372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36364 and 36372.

How to find the GCF of 36364 and 36372?

We will first find the prime factorization of 36364 and 36372. After we will calculate the factors of 36364 and 36372 and find the biggest common factor number .

Step-1: Prime Factorization of 36364

Prime factors of 36364 are 2, 9091. Prime factorization of 36364 in exponential form is:

36364 = 2² × 9091¹

Step-2: Prime Factorization of 36372

Prime factors of 36372 are 2, 3, 7, 433. Prime factorization of 36372 in exponential form is:

36372 = 2² × 3¹ × 7¹ × 433¹

Step-3: Factors of 36364

List of positive integer factors of 36364 that divides 36364 without a remainder.

1, 2, 4, 9091, 18182

Step-4: Factors of 36372

List of positive integer factors of 36372 that divides 36364 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 433, 866, 1299, 1732, 2598, 3031, 5196, 6062, 9093, 12124, 18186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36364 and 36372. The biggest common factor number is the GCF number.
So the greatest common factor 36364 and 36372 is 4.

Also check out the Least Common Multiple of 36364 and 36372