What is the Greatest Common Factor of 75340 and 75348?

Greatest common factor (GCF) of 75340 and 75348 is 4.

GCF(75340,75348) = 4

We will now calculate the prime factors of 75340 and 75348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75340 and 75348.

How to find the GCF of 75340 and 75348?

We will first find the prime factorization of 75340 and 75348. After we will calculate the factors of 75340 and 75348 and find the biggest common factor number .

Step-1: Prime Factorization of 75340

Prime factors of 75340 are 2, 5, 3767. Prime factorization of 75340 in exponential form is:

75340 = 2² × 5¹ × 3767¹

Step-2: 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-3: Factors of 75340

List of positive integer factors of 75340 that divides 75340 without a remainder.

1, 2, 4, 5, 10, 20, 3767, 7534, 15068, 18835, 37670

Step-4: Factors of 75348

List of positive integer factors of 75348 that divides 75340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75340 and 75348. The biggest common factor number is the GCF number.
So the greatest common factor 75340 and 75348 is 4.

Also check out the Least Common Multiple of 75340 and 75348