What is the Greatest Common Factor of 82978 and 82985?

Greatest common factor (GCF) of 82978 and 82985 is 7.

GCF(82978,82985) = 7

We will now calculate the prime factors of 82978 and 82985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82978 and 82985.

How to find the GCF of 82978 and 82985?

We will first find the prime factorization of 82978 and 82985. After we will calculate the factors of 82978 and 82985 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 82985

Prime factors of 82985 are 5, 7, 2371. Prime factorization of 82985 in exponential form is:

82985 = 5¹ × 7¹ × 2371¹

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 82985

List of positive integer factors of 82985 that divides 82978 without a remainder.

1, 5, 7, 35, 2371, 11855, 16597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82978 and 82985. The biggest common factor number is the GCF number.
So the greatest common factor 82978 and 82985 is 7.

Also check out the Least Common Multiple of 82978 and 82985