What is the Greatest Common Factor of 59440 and 59448?

Greatest common factor (GCF) of 59440 and 59448 is 8.

GCF(59440,59448) = 8

We will now calculate the prime factors of 59440 and 59448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59440 and 59448.

How to find the GCF of 59440 and 59448?

We will first find the prime factorization of 59440 and 59448. After we will calculate the factors of 59440 and 59448 and find the biggest common factor number .

Step-1: Prime Factorization of 59440

Prime factors of 59440 are 2, 5, 743. Prime factorization of 59440 in exponential form is:

59440 = 2⁴ × 5¹ × 743¹

Step-2: Prime Factorization of 59448

Prime factors of 59448 are 2, 3, 2477. Prime factorization of 59448 in exponential form is:

59448 = 2³ × 3¹ × 2477¹

Step-3: Factors of 59440

List of positive integer factors of 59440 that divides 59440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 743, 1486, 2972, 3715, 5944, 7430, 11888, 14860, 29720

Step-4: Factors of 59448

List of positive integer factors of 59448 that divides 59440 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2477, 4954, 7431, 9908, 14862, 19816, 29724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59440 and 59448. The biggest common factor number is the GCF number.
So the greatest common factor 59440 and 59448 is 8.

Also check out the Least Common Multiple of 59440 and 59448