What is the Greatest Common Factor of 25978 and 25985?

Greatest common factor (GCF) of 25978 and 25985 is 1.

GCF(25978,25985) = 1

We will now calculate the prime factors of 25978 and 25985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25978 and 25985.

How to find the GCF of 25978 and 25985?

We will first find the prime factorization of 25978 and 25985. After we will calculate the factors of 25978 and 25985 and find the biggest common factor number .

Step-1: Prime Factorization of 25978

Prime factors of 25978 are 2, 31, 419. Prime factorization of 25978 in exponential form is:

25978 = 2¹ × 31¹ × 419¹

Step-2: Prime Factorization of 25985

Prime factors of 25985 are 5, 5197. Prime factorization of 25985 in exponential form is:

25985 = 5¹ × 5197¹

Step-3: Factors of 25978

List of positive integer factors of 25978 that divides 25978 without a remainder.

1, 2, 31, 62, 419, 838, 12989

Step-4: Factors of 25985

List of positive integer factors of 25985 that divides 25978 without a remainder.

1, 5, 5197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25978 and 25985. The biggest common factor number is the GCF number.
So the greatest common factor 25978 and 25985 is 1.

Also check out the Least Common Multiple of 25978 and 25985