What is the Greatest Common Factor of 62434 and 62444?

Greatest common factor (GCF) of 62434 and 62444 is 2.

GCF(62434,62444) = 2

We will now calculate the prime factors of 62434 and 62444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62434 and 62444.

How to find the GCF of 62434 and 62444?

We will first find the prime factorization of 62434 and 62444. After we will calculate the factors of 62434 and 62444 and find the biggest common factor number .

Step-1: Prime Factorization of 62434

Prime factors of 62434 are 2, 19, 31, 53. Prime factorization of 62434 in exponential form is:

62434 = 2¹ × 19¹ × 31¹ × 53¹

Step-2: Prime Factorization of 62444

Prime factors of 62444 are 2, 67, 233. Prime factorization of 62444 in exponential form is:

62444 = 2² × 67¹ × 233¹

Step-3: Factors of 62434

List of positive integer factors of 62434 that divides 62434 without a remainder.

1, 2, 19, 31, 38, 53, 62, 106, 589, 1007, 1178, 1643, 2014, 3286, 31217

Step-4: Factors of 62444

List of positive integer factors of 62444 that divides 62434 without a remainder.

1, 2, 4, 67, 134, 233, 268, 466, 932, 15611, 31222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62434 and 62444. The biggest common factor number is the GCF number.
So the greatest common factor 62434 and 62444 is 2.

Also check out the Least Common Multiple of 62434 and 62444