What is the Greatest Common Factor of 73320 and 73330?

Greatest common factor (GCF) of 73320 and 73330 is 10.

GCF(73320,73330) = 10

We will now calculate the prime factors of 73320 and 73330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73320 and 73330.

How to find the GCF of 73320 and 73330?

We will first find the prime factorization of 73320 and 73330. After we will calculate the factors of 73320 and 73330 and find the biggest common factor number .

Step-1: Prime Factorization of 73320

Prime factors of 73320 are 2, 3, 5, 13, 47. Prime factorization of 73320 in exponential form is:

73320 = 2³ × 3¹ × 5¹ × 13¹ × 47¹

Step-2: Prime Factorization of 73330

Prime factors of 73330 are 2, 5, 7333. Prime factorization of 73330 in exponential form is:

73330 = 2¹ × 5¹ × 7333¹

Step-3: Factors of 73320

List of positive integer factors of 73320 that divides 73320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 47, 52, 60, 65, 78, 94, 104, 120, 130, 141, 156, 188, 195, 235, 260, 282, 312, 376, 390, 470, 520, 564, 611, 705, 780, 940, 1128, 1222, 1410, 1560, 1833, 1880, 2444, 2820, 3055, 3666, 4888, 5640, 6110, 7332, 9165, 12220, 14664, 18330, 24440, 36660

Step-4: Factors of 73330

List of positive integer factors of 73330 that divides 73320 without a remainder.

1, 2, 5, 10, 7333, 14666, 36665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73320 and 73330. The biggest common factor number is the GCF number.
So the greatest common factor 73320 and 73330 is 10.

Also check out the Least Common Multiple of 73320 and 73330