What is the Greatest Common Factor of 73610 and 73620?

Greatest common factor (GCF) of 73610 and 73620 is 10.

GCF(73610,73620) = 10

We will now calculate the prime factors of 73610 and 73620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73610 and 73620.

How to find the GCF of 73610 and 73620?

We will first find the prime factorization of 73610 and 73620. After we will calculate the factors of 73610 and 73620 and find the biggest common factor number .

Step-1: Prime Factorization of 73610

Prime factors of 73610 are 2, 5, 17, 433. Prime factorization of 73610 in exponential form is:

73610 = 2¹ × 5¹ × 17¹ × 433¹

Step-2: Prime Factorization of 73620

Prime factors of 73620 are 2, 3, 5, 409. Prime factorization of 73620 in exponential form is:

73620 = 2² × 3² × 5¹ × 409¹

Step-3: Factors of 73610

List of positive integer factors of 73610 that divides 73610 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 433, 866, 2165, 4330, 7361, 14722, 36805

Step-4: Factors of 73620

List of positive integer factors of 73620 that divides 73610 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 409, 818, 1227, 1636, 2045, 2454, 3681, 4090, 4908, 6135, 7362, 8180, 12270, 14724, 18405, 24540, 36810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73610 and 73620. The biggest common factor number is the GCF number.
So the greatest common factor 73610 and 73620 is 10.

Also check out the Least Common Multiple of 73610 and 73620