What is the Greatest Common Factor of 62536 and 62554?

Greatest common factor (GCF) of 62536 and 62554 is 2.

GCF(62536,62554) = 2

We will now calculate the prime factors of 62536 and 62554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62536 and 62554.

How to find the GCF of 62536 and 62554?

We will first find the prime factorization of 62536 and 62554. After we will calculate the factors of 62536 and 62554 and find the biggest common factor number .

Step-1: Prime Factorization of 62536

Prime factors of 62536 are 2, 7817. Prime factorization of 62536 in exponential form is:

62536 = 2³ × 7817¹

Step-2: Prime Factorization of 62554

Prime factors of 62554 are 2, 31277. Prime factorization of 62554 in exponential form is:

62554 = 2¹ × 31277¹

Step-3: Factors of 62536

List of positive integer factors of 62536 that divides 62536 without a remainder.

1, 2, 4, 8, 7817, 15634, 31268

Step-4: Factors of 62554

List of positive integer factors of 62554 that divides 62536 without a remainder.

1, 2, 31277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62536 and 62554. The biggest common factor number is the GCF number.
So the greatest common factor 62536 and 62554 is 2.

Also check out the Least Common Multiple of 62536 and 62554