What is the Greatest Common Factor of 94640 and 94645?

Greatest common factor (GCF) of 94640 and 94645 is 5.

GCF(94640,94645) = 5

We will now calculate the prime factors of 94640 and 94645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94640 and 94645.

How to find the GCF of 94640 and 94645?

We will first find the prime factorization of 94640 and 94645. After we will calculate the factors of 94640 and 94645 and find the biggest common factor number .

Step-1: Prime Factorization of 94640

Prime factors of 94640 are 2, 5, 7, 13. Prime factorization of 94640 in exponential form is:

94640 = 2⁴ × 5¹ × 7¹ × 13²

Step-2: Prime Factorization of 94645

Prime factors of 94645 are 5, 23, 823. Prime factorization of 94645 in exponential form is:

94645 = 5¹ × 23¹ × 823¹

Step-3: Factors of 94640

List of positive integer factors of 94640 that divides 94640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 169, 182, 208, 260, 280, 338, 364, 455, 520, 560, 676, 728, 845, 910, 1040, 1183, 1352, 1456, 1690, 1820, 2366, 2704, 3380, 3640, 4732, 5915, 6760, 7280, 9464, 11830, 13520, 18928, 23660, 47320

Step-4: Factors of 94645

List of positive integer factors of 94645 that divides 94640 without a remainder.

1, 5, 23, 115, 823, 4115, 18929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94640 and 94645. The biggest common factor number is the GCF number.
So the greatest common factor 94640 and 94645 is 5.

Also check out the Least Common Multiple of 94640 and 94645