What is the Greatest Common Factor of 74919 and 74939?

Greatest common factor (GCF) of 74919 and 74939 is 1.

GCF(74919,74939) = 1

We will now calculate the prime factors of 74919 and 74939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74919 and 74939.

How to find the GCF of 74919 and 74939?

We will first find the prime factorization of 74919 and 74939. After we will calculate the factors of 74919 and 74939 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 74939

Prime factors of 74939 are 137, 547. Prime factorization of 74939 in exponential form is:

74939 = 137¹ × 547¹

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 74939

List of positive integer factors of 74939 that divides 74919 without a remainder.

1, 137, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74919 and 74939. The biggest common factor number is the GCF number.
So the greatest common factor 74919 and 74939 is 1.

Also check out the Least Common Multiple of 74919 and 74939