What is the Greatest Common Factor of 74900 and 74917?

Greatest common factor (GCF) of 74900 and 74917 is 1.

GCF(74900,74917) = 1

We will now calculate the prime factors of 74900 and 74917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74900 and 74917.

How to find the GCF of 74900 and 74917?

We will first find the prime factorization of 74900 and 74917. After we will calculate the factors of 74900 and 74917 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 74917

Prime factors of 74917 are 19, 3943. Prime factorization of 74917 in exponential form is:

74917 = 19¹ × 3943¹

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 74917

List of positive integer factors of 74917 that divides 74900 without a remainder.

1, 19, 3943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74900 and 74917. The biggest common factor number is the GCF number.
So the greatest common factor 74900 and 74917 is 1.

Also check out the Least Common Multiple of 74900 and 74917