What is the Greatest Common Factor of 75420 and 75436?

Greatest common factor (GCF) of 75420 and 75436 is 4.

GCF(75420,75436) = 4

We will now calculate the prime factors of 75420 and 75436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75420 and 75436.

How to find the GCF of 75420 and 75436?

We will first find the prime factorization of 75420 and 75436. After we will calculate the factors of 75420 and 75436 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 75436

Prime factors of 75436 are 2, 18859. Prime factorization of 75436 in exponential form is:

75436 = 2² × 18859¹

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 75436

List of positive integer factors of 75436 that divides 75420 without a remainder.

1, 2, 4, 18859, 37718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75420 and 75436. The biggest common factor number is the GCF number.
So the greatest common factor 75420 and 75436 is 4.

Also check out the Least Common Multiple of 75420 and 75436