What is the Greatest Common Factor of 62958 and 62973?

Greatest common factor (GCF) of 62958 and 62973 is 3.

GCF(62958,62973) = 3

We will now calculate the prime factors of 62958 and 62973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62958 and 62973.

How to find the GCF of 62958 and 62973?

We will first find the prime factorization of 62958 and 62973. After we will calculate the factors of 62958 and 62973 and find the biggest common factor number .

Step-1: Prime Factorization of 62958

Prime factors of 62958 are 2, 3, 7, 1499. Prime factorization of 62958 in exponential form is:

62958 = 2¹ × 3¹ × 7¹ × 1499¹

Step-2: Prime Factorization of 62973

Prime factors of 62973 are 3, 6997. Prime factorization of 62973 in exponential form is:

62973 = 3² × 6997¹

Step-3: Factors of 62958

List of positive integer factors of 62958 that divides 62958 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1499, 2998, 4497, 8994, 10493, 20986, 31479

Step-4: Factors of 62973

List of positive integer factors of 62973 that divides 62958 without a remainder.

1, 3, 9, 6997, 20991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62958 and 62973. The biggest common factor number is the GCF number.
So the greatest common factor 62958 and 62973 is 3.

Also check out the Least Common Multiple of 62958 and 62973