What is the Greatest Common Factor of 82968 and 82978?

Greatest common factor (GCF) of 82968 and 82978 is 2.

GCF(82968,82978) = 2

We will now calculate the prime factors of 82968 and 82978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82968 and 82978.

How to find the GCF of 82968 and 82978?

We will first find the prime factorization of 82968 and 82978. After we will calculate the factors of 82968 and 82978 and find the biggest common factor number .

Step-1: Prime Factorization of 82968

Prime factors of 82968 are 2, 3, 3457. Prime factorization of 82968 in exponential form is:

82968 = 2³ × 3¹ × 3457¹

Step-2: 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-3: Factors of 82968

List of positive integer factors of 82968 that divides 82968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3457, 6914, 10371, 13828, 20742, 27656, 41484

Step-4: Factors of 82978

List of positive integer factors of 82978 that divides 82968 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82968 and 82978. The biggest common factor number is the GCF number.
So the greatest common factor 82968 and 82978 is 2.

Also check out the Least Common Multiple of 82968 and 82978