What is the Greatest Common Factor of 73416 and 73430?

Greatest common factor (GCF) of 73416 and 73430 is 14.

GCF(73416,73430) = 14

We will now calculate the prime factors of 73416 and 73430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73416 and 73430.

How to find the GCF of 73416 and 73430?

We will first find the prime factorization of 73416 and 73430. After we will calculate the factors of 73416 and 73430 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73430

Prime factors of 73430 are 2, 5, 7, 1049. Prime factorization of 73430 in exponential form is:

73430 = 2¹ × 5¹ × 7¹ × 1049¹

Step-3: Factors of 73416

List of positive integer factors of 73416 that divides 73416 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

Step-4: Factors of 73430

List of positive integer factors of 73430 that divides 73416 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1049, 2098, 5245, 7343, 10490, 14686, 36715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73416 and 73430. The biggest common factor number is the GCF number.
So the greatest common factor 73416 and 73430 is 14.

Also check out the Least Common Multiple of 73416 and 73430