What is the Greatest Common Factor of 72408 and 72424?

Greatest common factor (GCF) of 72408 and 72424 is 8.

GCF(72408,72424) = 8

We will now calculate the prime factors of 72408 and 72424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72408 and 72424.

How to find the GCF of 72408 and 72424?

We will first find the prime factorization of 72408 and 72424. After we will calculate the factors of 72408 and 72424 and find the biggest common factor number .

Step-1: Prime Factorization of 72408

Prime factors of 72408 are 2, 3, 7, 431. Prime factorization of 72408 in exponential form is:

72408 = 2³ × 3¹ × 7¹ × 431¹

Step-2: Prime Factorization of 72424

Prime factors of 72424 are 2, 11, 823. Prime factorization of 72424 in exponential form is:

72424 = 2³ × 11¹ × 823¹

Step-3: Factors of 72408

List of positive integer factors of 72408 that divides 72408 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 431, 862, 1293, 1724, 2586, 3017, 3448, 5172, 6034, 9051, 10344, 12068, 18102, 24136, 36204

Step-4: Factors of 72424

List of positive integer factors of 72424 that divides 72408 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 823, 1646, 3292, 6584, 9053, 18106, 36212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72408 and 72424. The biggest common factor number is the GCF number.
So the greatest common factor 72408 and 72424 is 8.

Also check out the Least Common Multiple of 72408 and 72424