What is the Greatest Common Factor of 62994 and 63003?

Greatest common factor (GCF) of 62994 and 63003 is 3.

GCF(62994,63003) = 3

We will now calculate the prime factors of 62994 and 63003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62994 and 63003.

How to find the GCF of 62994 and 63003?

We will first find the prime factorization of 62994 and 63003. After we will calculate the factors of 62994 and 63003 and find the biggest common factor number .

Step-1: Prime Factorization of 62994

Prime factors of 62994 are 2, 3, 10499. Prime factorization of 62994 in exponential form is:

62994 = 2¹ × 3¹ × 10499¹

Step-2: Prime Factorization of 63003

Prime factors of 63003 are 3, 21001. Prime factorization of 63003 in exponential form is:

63003 = 3¹ × 21001¹

Step-3: Factors of 62994

List of positive integer factors of 62994 that divides 62994 without a remainder.

1, 2, 3, 6, 10499, 20998, 31497

Step-4: Factors of 63003

List of positive integer factors of 63003 that divides 62994 without a remainder.

1, 3, 21001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62994 and 63003. The biggest common factor number is the GCF number.
So the greatest common factor 62994 and 63003 is 3.

Also check out the Least Common Multiple of 62994 and 63003