What is the Greatest Common Factor of 74890 and 74900?

Greatest common factor (GCF) of 74890 and 74900 is 10.

GCF(74890,74900) = 10

We will now calculate the prime factors of 74890 and 74900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74890 and 74900.

How to find the GCF of 74890 and 74900?

We will first find the prime factorization of 74890 and 74900. After we will calculate the factors of 74890 and 74900 and find the biggest common factor number .

Step-1: Prime Factorization of 74890

Prime factors of 74890 are 2, 5, 7489. Prime factorization of 74890 in exponential form is:

74890 = 2¹ × 5¹ × 7489¹

Step-2: 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-3: Factors of 74890

List of positive integer factors of 74890 that divides 74890 without a remainder.

1, 2, 5, 10, 7489, 14978, 37445

Step-4: Factors of 74900

List of positive integer factors of 74900 that divides 74890 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74890 and 74900. The biggest common factor number is the GCF number.
So the greatest common factor 74890 and 74900 is 10.

Also check out the Least Common Multiple of 74890 and 74900