What is the Greatest Common Factor of 64414 and 64421?

Greatest common factor (GCF) of 64414 and 64421 is 7.

GCF(64414,64421) = 7

We will now calculate the prime factors of 64414 and 64421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64414 and 64421.

How to find the GCF of 64414 and 64421?

We will first find the prime factorization of 64414 and 64421. After we will calculate the factors of 64414 and 64421 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 64421

Prime factors of 64421 are 7, 9203. Prime factorization of 64421 in exponential form is:

64421 = 7¹ × 9203¹

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 64421

List of positive integer factors of 64421 that divides 64414 without a remainder.

1, 7, 9203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64414 and 64421. The biggest common factor number is the GCF number.
So the greatest common factor 64414 and 64421 is 7.

Also check out the Least Common Multiple of 64414 and 64421