What is the Greatest Common Factor of 26946 and 26962?

Greatest common factor (GCF) of 26946 and 26962 is 2.

GCF(26946,26962) = 2

We will now calculate the prime factors of 26946 and 26962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26946 and 26962.

How to find the GCF of 26946 and 26962?

We will first find the prime factorization of 26946 and 26962. After we will calculate the factors of 26946 and 26962 and find the biggest common factor number .

Step-1: Prime Factorization of 26946

Prime factors of 26946 are 2, 3, 499. Prime factorization of 26946 in exponential form is:

26946 = 2¹ × 3³ × 499¹

Step-2: Prime Factorization of 26962

Prime factors of 26962 are 2, 13, 17, 61. Prime factorization of 26962 in exponential form is:

26962 = 2¹ × 13¹ × 17¹ × 61¹

Step-3: Factors of 26946

List of positive integer factors of 26946 that divides 26946 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 499, 998, 1497, 2994, 4491, 8982, 13473

Step-4: Factors of 26962

List of positive integer factors of 26962 that divides 26946 without a remainder.

1, 2, 13, 17, 26, 34, 61, 122, 221, 442, 793, 1037, 1586, 2074, 13481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26946 and 26962. The biggest common factor number is the GCF number.
So the greatest common factor 26946 and 26962 is 2.

Also check out the Least Common Multiple of 26946 and 26962