What is the Greatest Common Factor of 38420 and 38435?

Greatest common factor (GCF) of 38420 and 38435 is 5.

GCF(38420,38435) = 5

We will now calculate the prime factors of 38420 and 38435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38420 and 38435.

How to find the GCF of 38420 and 38435?

We will first find the prime factorization of 38420 and 38435. After we will calculate the factors of 38420 and 38435 and find the biggest common factor number .

Step-1: Prime Factorization of 38420

Prime factors of 38420 are 2, 5, 17, 113. Prime factorization of 38420 in exponential form is:

38420 = 2² × 5¹ × 17¹ × 113¹

Step-2: Prime Factorization of 38435

Prime factors of 38435 are 5, 7687. Prime factorization of 38435 in exponential form is:

38435 = 5¹ × 7687¹

Step-3: Factors of 38420

List of positive integer factors of 38420 that divides 38420 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 113, 170, 226, 340, 452, 565, 1130, 1921, 2260, 3842, 7684, 9605, 19210

Step-4: Factors of 38435

List of positive integer factors of 38435 that divides 38420 without a remainder.

1, 5, 7687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38420 and 38435. The biggest common factor number is the GCF number.
So the greatest common factor 38420 and 38435 is 5.

Also check out the Least Common Multiple of 38420 and 38435