What is the Greatest Common Factor of 62958 and 62962?

Greatest common factor (GCF) of 62958 and 62962 is 2.

GCF(62958,62962) = 2

We will now calculate the prime factors of 62958 and 62962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62958 and 62962.

How to find the GCF of 62958 and 62962?

We will first find the prime factorization of 62958 and 62962. After we will calculate the factors of 62958 and 62962 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 62962

Prime factors of 62962 are 2, 31481. Prime factorization of 62962 in exponential form is:

62962 = 2¹ × 31481¹

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 62962

List of positive integer factors of 62962 that divides 62958 without a remainder.

1, 2, 31481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62958 and 62962. The biggest common factor number is the GCF number.
So the greatest common factor 62958 and 62962 is 2.

Also check out the Least Common Multiple of 62958 and 62962