What is the Greatest Common Factor of 74936 and 74955?

Greatest common factor (GCF) of 74936 and 74955 is 19.

GCF(74936,74955) = 19

We will now calculate the prime factors of 74936 and 74955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74936 and 74955.

How to find the GCF of 74936 and 74955?

We will first find the prime factorization of 74936 and 74955. After we will calculate the factors of 74936 and 74955 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 74955

Prime factors of 74955 are 3, 5, 19, 263. Prime factorization of 74955 in exponential form is:

74955 = 3¹ × 5¹ × 19¹ × 263¹

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 74955

List of positive integer factors of 74955 that divides 74936 without a remainder.

1, 3, 5, 15, 19, 57, 95, 263, 285, 789, 1315, 3945, 4997, 14991, 24985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74936 and 74955. The biggest common factor number is the GCF number.
So the greatest common factor 74936 and 74955 is 19.

Also check out the Least Common Multiple of 74936 and 74955