What is the Greatest Common Factor of 75420 and 75424?

Greatest common factor (GCF) of 75420 and 75424 is 4.

GCF(75420,75424) = 4

We will now calculate the prime factors of 75420 and 75424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75420 and 75424.

How to find the GCF of 75420 and 75424?

We will first find the prime factorization of 75420 and 75424. After we will calculate the factors of 75420 and 75424 and find the biggest common factor number .

Step-1: Prime Factorization of 75420

Prime factors of 75420 are 2, 3, 5, 419. Prime factorization of 75420 in exponential form is:

75420 = 2² × 3² × 5¹ × 419¹

Step-2: Prime Factorization of 75424

Prime factors of 75424 are 2, 2357. Prime factorization of 75424 in exponential form is:

75424 = 2⁵ × 2357¹

Step-3: Factors of 75420

List of positive integer factors of 75420 that divides 75420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 419, 838, 1257, 1676, 2095, 2514, 3771, 4190, 5028, 6285, 7542, 8380, 12570, 15084, 18855, 25140, 37710

Step-4: Factors of 75424

List of positive integer factors of 75424 that divides 75420 without a remainder.

1, 2, 4, 8, 16, 32, 2357, 4714, 9428, 18856, 37712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75420 and 75424. The biggest common factor number is the GCF number.
So the greatest common factor 75420 and 75424 is 4.

Also check out the Least Common Multiple of 75420 and 75424