What is the Greatest Common Factor of 64414 and 64427?

Greatest common factor (GCF) of 64414 and 64427 is 1.

GCF(64414,64427) = 1

We will now calculate the prime factors of 64414 and 64427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64414 and 64427.

How to find the GCF of 64414 and 64427?

We will first find the prime factorization of 64414 and 64427. After we will calculate the factors of 64414 and 64427 and find the biggest common factor number .

Step-1: Prime Factorization of 64414

Prime factors of 64414 are 2, 7, 43, 107. Prime factorization of 64414 in exponential form is:

64414 = 2¹ × 7¹ × 43¹ × 107¹

Step-2: Prime Factorization of 64427

Prime factors of 64427 are 11, 5857. Prime factorization of 64427 in exponential form is:

64427 = 11¹ × 5857¹

Step-3: Factors of 64414

List of positive integer factors of 64414 that divides 64414 without a remainder.

1, 2, 7, 14, 43, 86, 107, 214, 301, 602, 749, 1498, 4601, 9202, 32207

Step-4: Factors of 64427

List of positive integer factors of 64427 that divides 64414 without a remainder.

1, 11, 5857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64414 and 64427. The biggest common factor number is the GCF number.
So the greatest common factor 64414 and 64427 is 1.

Also check out the Least Common Multiple of 64414 and 64427