What is the Greatest Common Factor of 62958 and 62968?

Greatest common factor (GCF) of 62958 and 62968 is 2.

GCF(62958,62968) = 2

We will now calculate the prime factors of 62958 and 62968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62958 and 62968.

How to find the GCF of 62958 and 62968?

We will first find the prime factorization of 62958 and 62968. After we will calculate the factors of 62958 and 62968 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 62968

Prime factors of 62968 are 2, 17, 463. Prime factorization of 62968 in exponential form is:

62968 = 2³ × 17¹ × 463¹

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 62968

List of positive integer factors of 62968 that divides 62958 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 463, 926, 1852, 3704, 7871, 15742, 31484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62958 and 62968. The biggest common factor number is the GCF number.
So the greatest common factor 62958 and 62968 is 2.

Also check out the Least Common Multiple of 62958 and 62968