What is the Greatest Common Factor of 74408 and 74424?

Greatest common factor (GCF) of 74408 and 74424 is 8.

GCF(74408,74424) = 8

We will now calculate the prime factors of 74408 and 74424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74408 and 74424.

How to find the GCF of 74408 and 74424?

We will first find the prime factorization of 74408 and 74424. After we will calculate the factors of 74408 and 74424 and find the biggest common factor number .

Step-1: Prime Factorization of 74408

Prime factors of 74408 are 2, 71, 131. Prime factorization of 74408 in exponential form is:

74408 = 2³ × 71¹ × 131¹

Step-2: Prime Factorization of 74424

Prime factors of 74424 are 2, 3, 7, 443. Prime factorization of 74424 in exponential form is:

74424 = 2³ × 3¹ × 7¹ × 443¹

Step-3: Factors of 74408

List of positive integer factors of 74408 that divides 74408 without a remainder.

1, 2, 4, 8, 71, 131, 142, 262, 284, 524, 568, 1048, 9301, 18602, 37204

Step-4: Factors of 74424

List of positive integer factors of 74424 that divides 74408 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 443, 886, 1329, 1772, 2658, 3101, 3544, 5316, 6202, 9303, 10632, 12404, 18606, 24808, 37212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74408 and 74424. The biggest common factor number is the GCF number.
So the greatest common factor 74408 and 74424 is 8.

Also check out the Least Common Multiple of 74408 and 74424