What is the Greatest Common Factor of 68420 and 68435?

Greatest common factor (GCF) of 68420 and 68435 is 5.

GCF(68420,68435) = 5

We will now calculate the prime factors of 68420 and 68435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68420 and 68435.

How to find the GCF of 68420 and 68435?

We will first find the prime factorization of 68420 and 68435. After we will calculate the factors of 68420 and 68435 and find the biggest common factor number .

Step-1: Prime Factorization of 68420

Prime factors of 68420 are 2, 5, 11, 311. Prime factorization of 68420 in exponential form is:

68420 = 2² × 5¹ × 11¹ × 311¹

Step-2: Prime Factorization of 68435

Prime factors of 68435 are 5, 13687. Prime factorization of 68435 in exponential form is:

68435 = 5¹ × 13687¹

Step-3: Factors of 68420

List of positive integer factors of 68420 that divides 68420 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 311, 622, 1244, 1555, 3110, 3421, 6220, 6842, 13684, 17105, 34210

Step-4: Factors of 68435

List of positive integer factors of 68435 that divides 68420 without a remainder.

1, 5, 13687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68420 and 68435. The biggest common factor number is the GCF number.
So the greatest common factor 68420 and 68435 is 5.

Also check out the Least Common Multiple of 68420 and 68435