What is the Greatest Common Factor of 62986 and 63004?

Greatest common factor (GCF) of 62986 and 63004 is 2.

GCF(62986,63004) = 2

We will now calculate the prime factors of 62986 and 63004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62986 and 63004.

How to find the GCF of 62986 and 63004?

We will first find the prime factorization of 62986 and 63004. After we will calculate the factors of 62986 and 63004 and find the biggest common factor number .

Step-1: Prime Factorization of 62986

Prime factors of 62986 are 2, 7, 11, 409. Prime factorization of 62986 in exponential form is:

62986 = 2¹ × 7¹ × 11¹ × 409¹

Step-2: Prime Factorization of 63004

Prime factors of 63004 are 2, 19, 829. Prime factorization of 63004 in exponential form is:

63004 = 2² × 19¹ × 829¹

Step-3: Factors of 62986

List of positive integer factors of 62986 that divides 62986 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 409, 818, 2863, 4499, 5726, 8998, 31493

Step-4: Factors of 63004

List of positive integer factors of 63004 that divides 62986 without a remainder.

1, 2, 4, 19, 38, 76, 829, 1658, 3316, 15751, 31502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62986 and 63004. The biggest common factor number is the GCF number.
So the greatest common factor 62986 and 63004 is 2.

Also check out the Least Common Multiple of 62986 and 63004