What is the Greatest Common Factor of 73600 and 73620?

Greatest common factor (GCF) of 73600 and 73620 is 20.

GCF(73600,73620) = 20

We will now calculate the prime factors of 73600 and 73620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73600 and 73620.

How to find the GCF of 73600 and 73620?

We will first find the prime factorization of 73600 and 73620. After we will calculate the factors of 73600 and 73620 and find the biggest common factor number .

Step-1: Prime Factorization of 73600

Prime factors of 73600 are 2, 5, 23. Prime factorization of 73600 in exponential form is:

73600 = 2⁷ × 5² × 23¹

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 73600

List of positive integer factors of 73600 that divides 73600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 64, 80, 92, 100, 115, 128, 160, 184, 200, 230, 320, 368, 400, 460, 575, 640, 736, 800, 920, 1150, 1472, 1600, 1840, 2300, 2944, 3200, 3680, 4600, 7360, 9200, 14720, 18400, 36800

Step-4: Factors of 73620

List of positive integer factors of 73620 that divides 73600 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 73600 and 73620. The biggest common factor number is the GCF number.
So the greatest common factor 73600 and 73620 is 20.

Also check out the Least Common Multiple of 73600 and 73620