What is the Greatest Common Factor of 26462 and 26472?

Greatest common factor (GCF) of 26462 and 26472 is 2.

GCF(26462,26472) = 2

We will now calculate the prime factors of 26462 and 26472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26462 and 26472.

How to find the GCF of 26462 and 26472?

We will first find the prime factorization of 26462 and 26472. After we will calculate the factors of 26462 and 26472 and find the biggest common factor number .

Step-1: Prime Factorization of 26462

Prime factors of 26462 are 2, 101, 131. Prime factorization of 26462 in exponential form is:

26462 = 2¹ × 101¹ × 131¹

Step-2: 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-3: Factors of 26462

List of positive integer factors of 26462 that divides 26462 without a remainder.

1, 2, 101, 131, 202, 262, 13231

Step-4: Factors of 26472

List of positive integer factors of 26472 that divides 26462 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26462 and 26472. The biggest common factor number is the GCF number.
So the greatest common factor 26462 and 26472 is 2.

Also check out the Least Common Multiple of 26462 and 26472