What is the Greatest Common Factor of 64414 and 64424?

Greatest common factor (GCF) of 64414 and 64424 is 2.

GCF(64414,64424) = 2

We will now calculate the prime factors of 64414 and 64424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64414 and 64424.

How to find the GCF of 64414 and 64424?

We will first find the prime factorization of 64414 and 64424. After we will calculate the factors of 64414 and 64424 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 64424

Prime factors of 64424 are 2, 8053. Prime factorization of 64424 in exponential form is:

64424 = 2³ × 8053¹

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 64424

List of positive integer factors of 64424 that divides 64414 without a remainder.

1, 2, 4, 8, 8053, 16106, 32212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64414 and 64424. The biggest common factor number is the GCF number.
So the greatest common factor 64414 and 64424 is 2.

Also check out the Least Common Multiple of 64414 and 64424