What is the Greatest Common Factor of 73312 and 73320?

Greatest common factor (GCF) of 73312 and 73320 is 8.

GCF(73312,73320) = 8

We will now calculate the prime factors of 73312 and 73320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73312 and 73320.

How to find the GCF of 73312 and 73320?

We will first find the prime factorization of 73312 and 73320. After we will calculate the factors of 73312 and 73320 and find the biggest common factor number .

Step-1: Prime Factorization of 73312

Prime factors of 73312 are 2, 29, 79. Prime factorization of 73312 in exponential form is:

73312 = 2⁵ × 29¹ × 79¹

Step-2: 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-3: Factors of 73312

List of positive integer factors of 73312 that divides 73312 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 79, 116, 158, 232, 316, 464, 632, 928, 1264, 2291, 2528, 4582, 9164, 18328, 36656

Step-4: Factors of 73320

List of positive integer factors of 73320 that divides 73312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73312 and 73320. The biggest common factor number is the GCF number.
So the greatest common factor 73312 and 73320 is 8.

Also check out the Least Common Multiple of 73312 and 73320