What is the Greatest Common Factor of 74919 and 74936?

Greatest common factor (GCF) of 74919 and 74936 is 17.

GCF(74919,74936) = 17

We will now calculate the prime factors of 74919 and 74936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74919 and 74936.

How to find the GCF of 74919 and 74936?

We will first find the prime factorization of 74919 and 74936. After we will calculate the factors of 74919 and 74936 and find the biggest common factor number .

Step-1: Prime Factorization of 74919

Prime factors of 74919 are 3, 13, 17, 113. Prime factorization of 74919 in exponential form is:

74919 = 3¹ × 13¹ × 17¹ × 113¹

Step-2: 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-3: Factors of 74919

List of positive integer factors of 74919 that divides 74919 without a remainder.

1, 3, 13, 17, 39, 51, 113, 221, 339, 663, 1469, 1921, 4407, 5763, 24973

Step-4: Factors of 74936

List of positive integer factors of 74936 that divides 74919 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74919 and 74936. The biggest common factor number is the GCF number.
So the greatest common factor 74919 and 74936 is 17.

Also check out the Least Common Multiple of 74919 and 74936