What is the Greatest Common Factor of 74905 and 74924?

Greatest common factor (GCF) of 74905 and 74924 is 1.

GCF(74905,74924) = 1

We will now calculate the prime factors of 74905 and 74924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74905 and 74924.

How to find the GCF of 74905 and 74924?

We will first find the prime factorization of 74905 and 74924. After we will calculate the factors of 74905 and 74924 and find the biggest common factor number .

Step-1: Prime Factorization of 74905

Prime factors of 74905 are 5, 71, 211. Prime factorization of 74905 in exponential form is:

74905 = 5¹ × 71¹ × 211¹

Step-2: Prime Factorization of 74924

Prime factors of 74924 are 2, 18731. Prime factorization of 74924 in exponential form is:

74924 = 2² × 18731¹

Step-3: Factors of 74905

List of positive integer factors of 74905 that divides 74905 without a remainder.

1, 5, 71, 211, 355, 1055, 14981

Step-4: Factors of 74924

List of positive integer factors of 74924 that divides 74905 without a remainder.

1, 2, 4, 18731, 37462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74905 and 74924. The biggest common factor number is the GCF number.
So the greatest common factor 74905 and 74924 is 1.

Also check out the Least Common Multiple of 74905 and 74924