What is the Greatest Common Factor of 68414 and 68420?

Greatest common factor (GCF) of 68414 and 68420 is 2.

GCF(68414,68420) = 2

We will now calculate the prime factors of 68414 and 68420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68414 and 68420.

How to find the GCF of 68414 and 68420?

We will first find the prime factorization of 68414 and 68420. After we will calculate the factors of 68414 and 68420 and find the biggest common factor number .

Step-1: Prime Factorization of 68414

Prime factors of 68414 are 2, 79, 433. Prime factorization of 68414 in exponential form is:

68414 = 2¹ × 79¹ × 433¹

Step-2: 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-3: Factors of 68414

List of positive integer factors of 68414 that divides 68414 without a remainder.

1, 2, 79, 158, 433, 866, 34207

Step-4: Factors of 68420

List of positive integer factors of 68420 that divides 68414 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68414 and 68420. The biggest common factor number is the GCF number.
So the greatest common factor 68414 and 68420 is 2.

Also check out the Least Common Multiple of 68414 and 68420