What is the Greatest Common Factor of 94430 and 94449?

Greatest common factor (GCF) of 94430 and 94449 is 19.

GCF(94430,94449) = 19

We will now calculate the prime factors of 94430 and 94449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94430 and 94449.

How to find the GCF of 94430 and 94449?

We will first find the prime factorization of 94430 and 94449. After we will calculate the factors of 94430 and 94449 and find the biggest common factor number .

Step-1: Prime Factorization of 94430

Prime factors of 94430 are 2, 5, 7, 19, 71. Prime factorization of 94430 in exponential form is:

94430 = 2¹ × 5¹ × 7¹ × 19¹ × 71¹

Step-2: Prime Factorization of 94449

Prime factors of 94449 are 3, 19, 1657. Prime factorization of 94449 in exponential form is:

94449 = 3¹ × 19¹ × 1657¹

Step-3: Factors of 94430

List of positive integer factors of 94430 that divides 94430 without a remainder.

1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 71, 95, 133, 142, 190, 266, 355, 497, 665, 710, 994, 1330, 1349, 2485, 2698, 4970, 6745, 9443, 13490, 18886, 47215

Step-4: Factors of 94449

List of positive integer factors of 94449 that divides 94430 without a remainder.

1, 3, 19, 57, 1657, 4971, 31483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94430 and 94449. The biggest common factor number is the GCF number.
So the greatest common factor 94430 and 94449 is 19.

Also check out the Least Common Multiple of 94430 and 94449