What is the Greatest Common Factor of 25972 and 25990?

Greatest common factor (GCF) of 25972 and 25990 is 2.

GCF(25972,25990) = 2

We will now calculate the prime factors of 25972 and 25990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25972 and 25990.

How to find the GCF of 25972 and 25990?

We will first find the prime factorization of 25972 and 25990. After we will calculate the factors of 25972 and 25990 and find the biggest common factor number .

Step-1: Prime Factorization of 25972

Prime factors of 25972 are 2, 43, 151. Prime factorization of 25972 in exponential form is:

25972 = 2² × 43¹ × 151¹

Step-2: Prime Factorization of 25990

Prime factors of 25990 are 2, 5, 23, 113. Prime factorization of 25990 in exponential form is:

25990 = 2¹ × 5¹ × 23¹ × 113¹

Step-3: Factors of 25972

List of positive integer factors of 25972 that divides 25972 without a remainder.

1, 2, 4, 43, 86, 151, 172, 302, 604, 6493, 12986

Step-4: Factors of 25990

List of positive integer factors of 25990 that divides 25972 without a remainder.

1, 2, 5, 10, 23, 46, 113, 115, 226, 230, 565, 1130, 2599, 5198, 12995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25972 and 25990. The biggest common factor number is the GCF number.
So the greatest common factor 25972 and 25990 is 2.

Also check out the Least Common Multiple of 25972 and 25990