What is the Greatest Common Factor of 75348 and 75359?

Greatest common factor (GCF) of 75348 and 75359 is 1.

GCF(75348,75359) = 1

We will now calculate the prime factors of 75348 and 75359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75348 and 75359.

How to find the GCF of 75348 and 75359?

We will first find the prime factorization of 75348 and 75359. After we will calculate the factors of 75348 and 75359 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 75359

Prime factors of 75359 are 179, 421. Prime factorization of 75359 in exponential form is:

75359 = 179¹ × 421¹

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 75359

List of positive integer factors of 75359 that divides 75348 without a remainder.

1, 179, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75348 and 75359. The biggest common factor number is the GCF number.
So the greatest common factor 75348 and 75359 is 1.

Also check out the Least Common Multiple of 75348 and 75359