What is the Greatest Common Factor of 26949 and 26962?

Greatest common factor (GCF) of 26949 and 26962 is 13.

GCF(26949,26962) = 13

We will now calculate the prime factors of 26949 and 26962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26949 and 26962.

How to find the GCF of 26949 and 26962?

We will first find the prime factorization of 26949 and 26962. After we will calculate the factors of 26949 and 26962 and find the biggest common factor number .

Step-1: Prime Factorization of 26949

Prime factors of 26949 are 3, 13, 691. Prime factorization of 26949 in exponential form is:

26949 = 3¹ × 13¹ × 691¹

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 26949

List of positive integer factors of 26949 that divides 26949 without a remainder.

1, 3, 13, 39, 691, 2073, 8983

Step-4: Factors of 26962

List of positive integer factors of 26962 that divides 26949 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 26949 and 26962. The biggest common factor number is the GCF number.
So the greatest common factor 26949 and 26962 is 13.

Also check out the Least Common Multiple of 26949 and 26962