What is the Greatest Common Factor of 75609 and 75620?

Greatest common factor (GCF) of 75609 and 75620 is 1.

GCF(75609,75620) = 1

We will now calculate the prime factors of 75609 and 75620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75609 and 75620.

How to find the GCF of 75609 and 75620?

We will first find the prime factorization of 75609 and 75620. After we will calculate the factors of 75609 and 75620 and find the biggest common factor number .

Step-1: Prime Factorization of 75609

Prime factors of 75609 are 3, 31, 271. Prime factorization of 75609 in exponential form is:

75609 = 3² × 31¹ × 271¹

Step-2: Prime Factorization of 75620

Prime factors of 75620 are 2, 5, 19, 199. Prime factorization of 75620 in exponential form is:

75620 = 2² × 5¹ × 19¹ × 199¹

Step-3: Factors of 75609

List of positive integer factors of 75609 that divides 75609 without a remainder.

1, 3, 9, 31, 93, 271, 279, 813, 2439, 8401, 25203

Step-4: Factors of 75620

List of positive integer factors of 75620 that divides 75609 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 199, 380, 398, 796, 995, 1990, 3781, 3980, 7562, 15124, 18905, 37810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75609 and 75620. The biggest common factor number is the GCF number.
So the greatest common factor 75609 and 75620 is 1.

Also check out the Least Common Multiple of 75609 and 75620