What is the Greatest Common Factor of 62644 and 62654?

Greatest common factor (GCF) of 62644 and 62654 is 2.

GCF(62644,62654) = 2

We will now calculate the prime factors of 62644 and 62654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62644 and 62654.

How to find the GCF of 62644 and 62654?

We will first find the prime factorization of 62644 and 62654. After we will calculate the factors of 62644 and 62654 and find the biggest common factor number .

Step-1: Prime Factorization of 62644

Prime factors of 62644 are 2, 15661. Prime factorization of 62644 in exponential form is:

62644 = 2² × 15661¹

Step-2: Prime Factorization of 62654

Prime factors of 62654 are 2, 31327. Prime factorization of 62654 in exponential form is:

62654 = 2¹ × 31327¹

Step-3: Factors of 62644

List of positive integer factors of 62644 that divides 62644 without a remainder.

1, 2, 4, 15661, 31322

Step-4: Factors of 62654

List of positive integer factors of 62654 that divides 62644 without a remainder.

1, 2, 31327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62644 and 62654. The biggest common factor number is the GCF number.
So the greatest common factor 62644 and 62654 is 2.

Also check out the Least Common Multiple of 62644 and 62654