What is the Greatest Common Factor of 36498 and 36505?

Greatest common factor (GCF) of 36498 and 36505 is 7.

GCF(36498,36505) = 7

We will now calculate the prime factors of 36498 and 36505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36498 and 36505.

How to find the GCF of 36498 and 36505?

We will first find the prime factorization of 36498 and 36505. After we will calculate the factors of 36498 and 36505 and find the biggest common factor number .

Step-1: Prime Factorization of 36498

Prime factors of 36498 are 2, 3, 7, 11, 79. Prime factorization of 36498 in exponential form is:

36498 = 2¹ × 3¹ × 7¹ × 11¹ × 79¹

Step-2: Prime Factorization of 36505

Prime factors of 36505 are 5, 7, 149. Prime factorization of 36505 in exponential form is:

36505 = 5¹ × 7² × 149¹

Step-3: Factors of 36498

List of positive integer factors of 36498 that divides 36498 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 79, 154, 158, 231, 237, 462, 474, 553, 869, 1106, 1659, 1738, 2607, 3318, 5214, 6083, 12166, 18249

Step-4: Factors of 36505

List of positive integer factors of 36505 that divides 36498 without a remainder.

1, 5, 7, 35, 49, 149, 245, 745, 1043, 5215, 7301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36498 and 36505. The biggest common factor number is the GCF number.
So the greatest common factor 36498 and 36505 is 7.

Also check out the Least Common Multiple of 36498 and 36505