What is the Greatest Common Factor of 36372 and 36386?

Greatest common factor (GCF) of 36372 and 36386 is 14.

GCF(36372,36386) = 14

We will now calculate the prime factors of 36372 and 36386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36372 and 36386.

How to find the GCF of 36372 and 36386?

We will first find the prime factorization of 36372 and 36386. After we will calculate the factors of 36372 and 36386 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36386

Prime factors of 36386 are 2, 7, 23, 113. Prime factorization of 36386 in exponential form is:

36386 = 2¹ × 7¹ × 23¹ × 113¹

Step-3: Factors of 36372

List of positive integer factors of 36372 that divides 36372 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

Step-4: Factors of 36386

List of positive integer factors of 36386 that divides 36372 without a remainder.

1, 2, 7, 14, 23, 46, 113, 161, 226, 322, 791, 1582, 2599, 5198, 18193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36372 and 36386. The biggest common factor number is the GCF number.
So the greatest common factor 36372 and 36386 is 14.

Also check out the Least Common Multiple of 36372 and 36386