What is the Greatest Common Factor of 75610 and 75620?

Greatest common factor (GCF) of 75610 and 75620 is 10.

GCF(75610,75620) = 10

We will now calculate the prime factors of 75610 and 75620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75610 and 75620.

How to find the GCF of 75610 and 75620?

We will first find the prime factorization of 75610 and 75620. After we will calculate the factors of 75610 and 75620 and find the biggest common factor number .

Step-1: Prime Factorization of 75610

Prime factors of 75610 are 2, 5, 7561. Prime factorization of 75610 in exponential form is:

75610 = 2¹ × 5¹ × 7561¹

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 75610

List of positive integer factors of 75610 that divides 75610 without a remainder.

1, 2, 5, 10, 7561, 15122, 37805

Step-4: Factors of 75620

List of positive integer factors of 75620 that divides 75610 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 75610 and 75620. The biggest common factor number is the GCF number.
So the greatest common factor 75610 and 75620 is 10.

Also check out the Least Common Multiple of 75610 and 75620