What is the Greatest Common Factor of 73408 and 73428?

Greatest common factor (GCF) of 73408 and 73428 is 4.

GCF(73408,73428) = 4

We will now calculate the prime factors of 73408 and 73428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73408 and 73428.

How to find the GCF of 73408 and 73428?

We will first find the prime factorization of 73408 and 73428. After we will calculate the factors of 73408 and 73428 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 73428

Prime factors of 73428 are 2, 3, 29, 211. Prime factorization of 73428 in exponential form is:

73428 = 2² × 3¹ × 29¹ × 211¹

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 73428

List of positive integer factors of 73428 that divides 73408 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 211, 348, 422, 633, 844, 1266, 2532, 6119, 12238, 18357, 24476, 36714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73408 and 73428. The biggest common factor number is the GCF number.
So the greatest common factor 73408 and 73428 is 4.

Also check out the Least Common Multiple of 73408 and 73428