What is the Greatest Common Factor of 94435 and 94440?

Greatest common factor (GCF) of 94435 and 94440 is 5.

GCF(94435,94440) = 5

We will now calculate the prime factors of 94435 and 94440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94435 and 94440.

How to find the GCF of 94435 and 94440?

We will first find the prime factorization of 94435 and 94440. After we will calculate the factors of 94435 and 94440 and find the biggest common factor number .

Step-1: Prime Factorization of 94435

Prime factors of 94435 are 5, 11, 17, 101. Prime factorization of 94435 in exponential form is:

94435 = 5¹ × 11¹ × 17¹ × 101¹

Step-2: Prime Factorization of 94440

Prime factors of 94440 are 2, 3, 5, 787. Prime factorization of 94440 in exponential form is:

94440 = 2³ × 3¹ × 5¹ × 787¹

Step-3: Factors of 94435

List of positive integer factors of 94435 that divides 94435 without a remainder.

1, 5, 11, 17, 55, 85, 101, 187, 505, 935, 1111, 1717, 5555, 8585, 18887

Step-4: Factors of 94440

List of positive integer factors of 94440 that divides 94435 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 787, 1574, 2361, 3148, 3935, 4722, 6296, 7870, 9444, 11805, 15740, 18888, 23610, 31480, 47220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94435 and 94440. The biggest common factor number is the GCF number.
So the greatest common factor 94435 and 94440 is 5.

Also check out the Least Common Multiple of 94435 and 94440