What is the Greatest Common Factor of 58435 and 58440?

Greatest common factor (GCF) of 58435 and 58440 is 5.

GCF(58435,58440) = 5

We will now calculate the prime factors of 58435 and 58440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58435 and 58440.

How to find the GCF of 58435 and 58440?

We will first find the prime factorization of 58435 and 58440. After we will calculate the factors of 58435 and 58440 and find the biggest common factor number .

Step-1: Prime Factorization of 58435

Prime factors of 58435 are 5, 13, 29, 31. Prime factorization of 58435 in exponential form is:

58435 = 5¹ × 13¹ × 29¹ × 31¹

Step-2: Prime Factorization of 58440

Prime factors of 58440 are 2, 3, 5, 487. Prime factorization of 58440 in exponential form is:

58440 = 2³ × 3¹ × 5¹ × 487¹

Step-3: Factors of 58435

List of positive integer factors of 58435 that divides 58435 without a remainder.

1, 5, 13, 29, 31, 65, 145, 155, 377, 403, 899, 1885, 2015, 4495, 11687

Step-4: Factors of 58440

List of positive integer factors of 58440 that divides 58435 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 487, 974, 1461, 1948, 2435, 2922, 3896, 4870, 5844, 7305, 9740, 11688, 14610, 19480, 29220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58435 and 58440. The biggest common factor number is the GCF number.
So the greatest common factor 58435 and 58440 is 5.

Also check out the Least Common Multiple of 58435 and 58440