What is the Greatest Common Factor of 75348 and 75352?

Greatest common factor (GCF) of 75348 and 75352 is 4.

GCF(75348,75352) = 4

We will now calculate the prime factors of 75348 and 75352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75348 and 75352.

How to find the GCF of 75348 and 75352?

We will first find the prime factorization of 75348 and 75352. After we will calculate the factors of 75348 and 75352 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 75352

Prime factors of 75352 are 2, 9419. Prime factorization of 75352 in exponential form is:

75352 = 2³ × 9419¹

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 75352

List of positive integer factors of 75352 that divides 75348 without a remainder.

1, 2, 4, 8, 9419, 18838, 37676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75348 and 75352. The biggest common factor number is the GCF number.
So the greatest common factor 75348 and 75352 is 4.

Also check out the Least Common Multiple of 75348 and 75352