What is the Greatest Common Factor of 64396 and 64402?

Greatest common factor (GCF) of 64396 and 64402 is 2.

GCF(64396,64402) = 2

We will now calculate the prime factors of 64396 and 64402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64396 and 64402.

How to find the GCF of 64396 and 64402?

We will first find the prime factorization of 64396 and 64402. After we will calculate the factors of 64396 and 64402 and find the biggest common factor number .

Step-1: Prime Factorization of 64396

Prime factors of 64396 are 2, 17, 947. Prime factorization of 64396 in exponential form is:

64396 = 2² × 17¹ × 947¹

Step-2: Prime Factorization of 64402

Prime factors of 64402 are 2, 13, 2477. Prime factorization of 64402 in exponential form is:

64402 = 2¹ × 13¹ × 2477¹

Step-3: Factors of 64396

List of positive integer factors of 64396 that divides 64396 without a remainder.

1, 2, 4, 17, 34, 68, 947, 1894, 3788, 16099, 32198

Step-4: Factors of 64402

List of positive integer factors of 64402 that divides 64396 without a remainder.

1, 2, 13, 26, 2477, 4954, 32201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64396 and 64402. The biggest common factor number is the GCF number.
So the greatest common factor 64396 and 64402 is 2.

Also check out the Least Common Multiple of 64396 and 64402