What is the Greatest Common Factor of 74919 and 74934?

Greatest common factor (GCF) of 74919 and 74934 is 3.

GCF(74919,74934) = 3

We will now calculate the prime factors of 74919 and 74934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74919 and 74934.

How to find the GCF of 74919 and 74934?

We will first find the prime factorization of 74919 and 74934. After we will calculate the factors of 74919 and 74934 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 74934

Prime factors of 74934 are 2, 3, 23, 181. Prime factorization of 74934 in exponential form is:

74934 = 2¹ × 3² × 23¹ × 181¹

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 74934

List of positive integer factors of 74934 that divides 74919 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 181, 207, 362, 414, 543, 1086, 1629, 3258, 4163, 8326, 12489, 24978, 37467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74919 and 74934. The biggest common factor number is the GCF number.
So the greatest common factor 74919 and 74934 is 3.

Also check out the Least Common Multiple of 74919 and 74934