What is the Greatest Common Factor of 74605 and 74624?

Greatest common factor (GCF) of 74605 and 74624 is 1.

GCF(74605,74624) = 1

We will now calculate the prime factors of 74605 and 74624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74605 and 74624.

How to find the GCF of 74605 and 74624?

We will first find the prime factorization of 74605 and 74624. After we will calculate the factors of 74605 and 74624 and find the biggest common factor number .

Step-1: Prime Factorization of 74605

Prime factors of 74605 are 5, 43, 347. Prime factorization of 74605 in exponential form is:

74605 = 5¹ × 43¹ × 347¹

Step-2: Prime Factorization of 74624

Prime factors of 74624 are 2, 11, 53. Prime factorization of 74624 in exponential form is:

74624 = 2⁷ × 11¹ × 53¹

Step-3: Factors of 74605

List of positive integer factors of 74605 that divides 74605 without a remainder.

1, 5, 43, 215, 347, 1735, 14921

Step-4: Factors of 74624

List of positive integer factors of 74624 that divides 74605 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 53, 64, 88, 106, 128, 176, 212, 352, 424, 583, 704, 848, 1166, 1408, 1696, 2332, 3392, 4664, 6784, 9328, 18656, 37312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74605 and 74624. The biggest common factor number is the GCF number.
So the greatest common factor 74605 and 74624 is 1.

Also check out the Least Common Multiple of 74605 and 74624