What is the Greatest Common Factor of 58420 and 58435?

Greatest common factor (GCF) of 58420 and 58435 is 5.

GCF(58420,58435) = 5

We will now calculate the prime factors of 58420 and 58435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58420 and 58435.

How to find the GCF of 58420 and 58435?

We will first find the prime factorization of 58420 and 58435. After we will calculate the factors of 58420 and 58435 and find the biggest common factor number .

Step-1: Prime Factorization of 58420

Prime factors of 58420 are 2, 5, 23, 127. Prime factorization of 58420 in exponential form is:

58420 = 2² × 5¹ × 23¹ × 127¹

Step-2: 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-3: Factors of 58420

List of positive integer factors of 58420 that divides 58420 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 127, 230, 254, 460, 508, 635, 1270, 2540, 2921, 5842, 11684, 14605, 29210

Step-4: Factors of 58435

List of positive integer factors of 58435 that divides 58420 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58420 and 58435. The biggest common factor number is the GCF number.
So the greatest common factor 58420 and 58435 is 5.

Also check out the Least Common Multiple of 58420 and 58435