What is the Greatest Common Factor of 73620 and 73638?

Greatest common factor (GCF) of 73620 and 73638 is 18.

GCF(73620,73638) = 18

We will now calculate the prime factors of 73620 and 73638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73620 and 73638.

How to find the GCF of 73620 and 73638?

We will first find the prime factorization of 73620 and 73638. After we will calculate the factors of 73620 and 73638 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73638

Prime factors of 73638 are 2, 3, 4091. Prime factorization of 73638 in exponential form is:

73638 = 2¹ × 3² × 4091¹

Step-3: Factors of 73620

List of positive integer factors of 73620 that divides 73620 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

Step-4: Factors of 73638

List of positive integer factors of 73638 that divides 73620 without a remainder.

1, 2, 3, 6, 9, 18, 4091, 8182, 12273, 24546, 36819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73620 and 73638. The biggest common factor number is the GCF number.
So the greatest common factor 73620 and 73638 is 18.

Also check out the Least Common Multiple of 73620 and 73638