What is the Greatest Common Factor of 82978 and 82988?

Greatest common factor (GCF) of 82978 and 82988 is 2.

GCF(82978,82988) = 2

We will now calculate the prime factors of 82978 and 82988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82978 and 82988.

How to find the GCF of 82978 and 82988?

We will first find the prime factorization of 82978 and 82988. After we will calculate the factors of 82978 and 82988 and find the biggest common factor number .

Step-1: Prime Factorization of 82978

Prime factors of 82978 are 2, 7, 5927. Prime factorization of 82978 in exponential form is:

82978 = 2¹ × 7¹ × 5927¹

Step-2: Prime Factorization of 82988

Prime factors of 82988 are 2, 20747. Prime factorization of 82988 in exponential form is:

82988 = 2² × 20747¹

Step-3: Factors of 82978

List of positive integer factors of 82978 that divides 82978 without a remainder.

1, 2, 7, 14, 5927, 11854, 41489

Step-4: Factors of 82988

List of positive integer factors of 82988 that divides 82978 without a remainder.

1, 2, 4, 20747, 41494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82978 and 82988. The biggest common factor number is the GCF number.
So the greatest common factor 82978 and 82988 is 2.

Also check out the Least Common Multiple of 82978 and 82988