What is the Greatest Common Factor of 75348 and 75357?

Greatest common factor (GCF) of 75348 and 75357 is 9.

GCF(75348,75357) = 9

We will now calculate the prime factors of 75348 and 75357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75348 and 75357.

How to find the GCF of 75348 and 75357?

We will first find the prime factorization of 75348 and 75357. After we will calculate the factors of 75348 and 75357 and find the biggest common factor number .

Step-1: Prime Factorization of 75348

Prime factors of 75348 are 2, 3, 7, 13, 23. Prime factorization of 75348 in exponential form is:

75348 = 2² × 3² × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 75357

Prime factors of 75357 are 3, 2791. Prime factorization of 75357 in exponential form is:

75357 = 3³ × 2791¹

Step-3: Factors of 75348

List of positive integer factors of 75348 that divides 75348 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 23, 26, 28, 36, 39, 42, 46, 52, 63, 69, 78, 84, 91, 92, 117, 126, 138, 156, 161, 182, 207, 234, 252, 273, 276, 299, 322, 364, 414, 468, 483, 546, 598, 644, 819, 828, 897, 966, 1092, 1196, 1449, 1638, 1794, 1932, 2093, 2691, 2898, 3276, 3588, 4186, 5382, 5796, 6279, 8372, 10764, 12558, 18837, 25116, 37674

Step-4: Factors of 75357

List of positive integer factors of 75357 that divides 75348 without a remainder.

1, 3, 9, 27, 2791, 8373, 25119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75348 and 75357. The biggest common factor number is the GCF number.
So the greatest common factor 75348 and 75357 is 9.

Also check out the Least Common Multiple of 75348 and 75357