What is the Greatest Common Factor of 75409 and 75420?

Greatest common factor (GCF) of 75409 and 75420 is 1.

GCF(75409,75420) = 1

We will now calculate the prime factors of 75409 and 75420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75409 and 75420.

How to find the GCF of 75409 and 75420?

We will first find the prime factorization of 75409 and 75420. After we will calculate the factors of 75409 and 75420 and find the biggest common factor number .

Step-1: Prime Factorization of 75409

Prime factors of 75409 are 73, 1033. Prime factorization of 75409 in exponential form is:

75409 = 73¹ × 1033¹

Step-2: 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-3: Factors of 75409

List of positive integer factors of 75409 that divides 75409 without a remainder.

1, 73, 1033

Step-4: Factors of 75420

List of positive integer factors of 75420 that divides 75409 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75409 and 75420. The biggest common factor number is the GCF number.
So the greatest common factor 75409 and 75420 is 1.

Also check out the Least Common Multiple of 75409 and 75420