What is the Greatest Common Factor of 62958 and 62963?

Greatest common factor (GCF) of 62958 and 62963 is 1.

GCF(62958,62963) = 1

We will now calculate the prime factors of 62958 and 62963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62958 and 62963.

How to find the GCF of 62958 and 62963?

We will first find the prime factorization of 62958 and 62963. After we will calculate the factors of 62958 and 62963 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 62963

Prime factors of 62963 are 79, 797. Prime factorization of 62963 in exponential form is:

62963 = 79¹ × 797¹

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 62963

List of positive integer factors of 62963 that divides 62958 without a remainder.

1, 79, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62958 and 62963. The biggest common factor number is the GCF number.
So the greatest common factor 62958 and 62963 is 1.

Also check out the Least Common Multiple of 62958 and 62963