What is the Greatest Common Factor of 74900 and 74919?

Greatest common factor (GCF) of 74900 and 74919 is 1.

GCF(74900,74919) = 1

We will now calculate the prime factors of 74900 and 74919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74900 and 74919.

How to find the GCF of 74900 and 74919?

We will first find the prime factorization of 74900 and 74919. After we will calculate the factors of 74900 and 74919 and find the biggest common factor number .

Step-1: Prime Factorization of 74900

Prime factors of 74900 are 2, 5, 7, 107. Prime factorization of 74900 in exponential form is:

74900 = 2² × 5² × 7¹ × 107¹

Step-2: 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-3: Factors of 74900

List of positive integer factors of 74900 that divides 74900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 107, 140, 175, 214, 350, 428, 535, 700, 749, 1070, 1498, 2140, 2675, 2996, 3745, 5350, 7490, 10700, 14980, 18725, 37450

Step-4: Factors of 74919

List of positive integer factors of 74919 that divides 74900 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74900 and 74919. The biggest common factor number is the GCF number.
So the greatest common factor 74900 and 74919 is 1.

Also check out the Least Common Multiple of 74900 and 74919