What is the Greatest Common Factor of 75348 and 75358?

Greatest common factor (GCF) of 75348 and 75358 is 2.

GCF(75348,75358) = 2

We will now calculate the prime factors of 75348 and 75358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75348 and 75358.

How to find the GCF of 75348 and 75358?

We will first find the prime factorization of 75348 and 75358. After we will calculate the factors of 75348 and 75358 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 75358

Prime factors of 75358 are 2, 41, 919. Prime factorization of 75358 in exponential form is:

75358 = 2¹ × 41¹ × 919¹

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 75358

List of positive integer factors of 75358 that divides 75348 without a remainder.

1, 2, 41, 82, 919, 1838, 37679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75348 and 75358. The biggest common factor number is the GCF number.
So the greatest common factor 75348 and 75358 is 2.

Also check out the Least Common Multiple of 75348 and 75358