What is the Greatest Common Factor of 36358 and 36372?

Greatest common factor (GCF) of 36358 and 36372 is 14.

GCF(36358,36372) = 14

We will now calculate the prime factors of 36358 and 36372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36358 and 36372.

How to find the GCF of 36358 and 36372?

We will first find the prime factorization of 36358 and 36372. After we will calculate the factors of 36358 and 36372 and find the biggest common factor number .

Step-1: Prime Factorization of 36358

Prime factors of 36358 are 2, 7, 53. Prime factorization of 36358 in exponential form is:

36358 = 2¹ × 7³ × 53¹

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 36358

List of positive integer factors of 36358 that divides 36358 without a remainder.

1, 2, 7, 14, 49, 53, 98, 106, 343, 371, 686, 742, 2597, 5194, 18179

Step-4: Factors of 36372

List of positive integer factors of 36372 that divides 36358 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 36358 and 36372. The biggest common factor number is the GCF number.
So the greatest common factor 36358 and 36372 is 14.

Also check out the Least Common Multiple of 36358 and 36372