What is the Greatest Common Factor of 75406 and 75420?

Greatest common factor (GCF) of 75406 and 75420 is 2.

GCF(75406,75420) = 2

We will now calculate the prime factors of 75406 and 75420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75406 and 75420.

How to find the GCF of 75406 and 75420?

We will first find the prime factorization of 75406 and 75420. After we will calculate the factors of 75406 and 75420 and find the biggest common factor number .

Step-1: Prime Factorization of 75406

Prime factors of 75406 are 2, 37, 1019. Prime factorization of 75406 in exponential form is:

75406 = 2¹ × 37¹ × 1019¹

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 75406

List of positive integer factors of 75406 that divides 75406 without a remainder.

1, 2, 37, 74, 1019, 2038, 37703

Step-4: Factors of 75420

List of positive integer factors of 75420 that divides 75406 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 75406 and 75420. The biggest common factor number is the GCF number.
So the greatest common factor 75406 and 75420 is 2.

Also check out the Least Common Multiple of 75406 and 75420