What is the Greatest Common Factor of 73408 and 73416?

Greatest common factor (GCF) of 73408 and 73416 is 8.

GCF(73408,73416) = 8

We will now calculate the prime factors of 73408 and 73416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73408 and 73416.

How to find the GCF of 73408 and 73416?

We will first find the prime factorization of 73408 and 73416. After we will calculate the factors of 73408 and 73416 and find the biggest common factor number .

Step-1: Prime Factorization of 73408

Prime factors of 73408 are 2, 31, 37. Prime factorization of 73408 in exponential form is:

73408 = 2⁶ × 31¹ × 37¹

Step-2: Prime Factorization of 73416

Prime factors of 73416 are 2, 3, 7, 19, 23. Prime factorization of 73416 in exponential form is:

73416 = 2³ × 3¹ × 7¹ × 19¹ × 23¹

Step-3: Factors of 73408

List of positive integer factors of 73408 that divides 73408 without a remainder.

1, 2, 4, 8, 16, 31, 32, 37, 62, 64, 74, 124, 148, 248, 296, 496, 592, 992, 1147, 1184, 1984, 2294, 2368, 4588, 9176, 18352, 36704

Step-4: Factors of 73416

List of positive integer factors of 73416 that divides 73408 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 23, 24, 28, 38, 42, 46, 56, 57, 69, 76, 84, 92, 114, 133, 138, 152, 161, 168, 184, 228, 266, 276, 322, 399, 437, 456, 483, 532, 552, 644, 798, 874, 966, 1064, 1288, 1311, 1596, 1748, 1932, 2622, 3059, 3192, 3496, 3864, 5244, 6118, 9177, 10488, 12236, 18354, 24472, 36708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73408 and 73416. The biggest common factor number is the GCF number.
So the greatest common factor 73408 and 73416 is 8.

Also check out the Least Common Multiple of 73408 and 73416