What is the Greatest Common Factor of 26472 and 26492?

Greatest common factor (GCF) of 26472 and 26492 is 4.

GCF(26472,26492) = 4

We will now calculate the prime factors of 26472 and 26492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26472 and 26492.

How to find the GCF of 26472 and 26492?

We will first find the prime factorization of 26472 and 26492. After we will calculate the factors of 26472 and 26492 and find the biggest common factor number .

Step-1: Prime Factorization of 26472

Prime factors of 26472 are 2, 3, 1103. Prime factorization of 26472 in exponential form is:

26472 = 2³ × 3¹ × 1103¹

Step-2: Prime Factorization of 26492

Prime factors of 26492 are 2, 37, 179. Prime factorization of 26492 in exponential form is:

26492 = 2² × 37¹ × 179¹

Step-3: Factors of 26472

List of positive integer factors of 26472 that divides 26472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1103, 2206, 3309, 4412, 6618, 8824, 13236

Step-4: Factors of 26492

List of positive integer factors of 26492 that divides 26472 without a remainder.

1, 2, 4, 37, 74, 148, 179, 358, 716, 6623, 13246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26472 and 26492. The biggest common factor number is the GCF number.
So the greatest common factor 26472 and 26492 is 4.

Also check out the Least Common Multiple of 26472 and 26492