What is the Greatest Common Factor of 74936 and 74953?

Greatest common factor (GCF) of 74936 and 74953 is 17.

GCF(74936,74953) = 17

We will now calculate the prime factors of 74936 and 74953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74936 and 74953.

How to find the GCF of 74936 and 74953?

We will first find the prime factorization of 74936 and 74953. After we will calculate the factors of 74936 and 74953 and find the biggest common factor number .

Step-1: Prime Factorization of 74936

Prime factors of 74936 are 2, 17, 19, 29. Prime factorization of 74936 in exponential form is:

74936 = 2³ × 17¹ × 19¹ × 29¹

Step-2: Prime Factorization of 74953

Prime factors of 74953 are 17, 4409. Prime factorization of 74953 in exponential form is:

74953 = 17¹ × 4409¹

Step-3: Factors of 74936

List of positive integer factors of 74936 that divides 74936 without a remainder.

1, 2, 4, 8, 17, 19, 29, 34, 38, 58, 68, 76, 116, 136, 152, 232, 323, 493, 551, 646, 986, 1102, 1292, 1972, 2204, 2584, 3944, 4408, 9367, 18734, 37468

Step-4: Factors of 74953

List of positive integer factors of 74953 that divides 74936 without a remainder.

1, 17, 4409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74936 and 74953. The biggest common factor number is the GCF number.
So the greatest common factor 74936 and 74953 is 17.

Also check out the Least Common Multiple of 74936 and 74953