What is the Greatest Common Factor of 26950 and 26964?

Greatest common factor (GCF) of 26950 and 26964 is 14.

GCF(26950,26964) = 14

We will now calculate the prime factors of 26950 and 26964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26950 and 26964.

How to find the GCF of 26950 and 26964?

We will first find the prime factorization of 26950 and 26964. After we will calculate the factors of 26950 and 26964 and find the biggest common factor number .

Step-1: Prime Factorization of 26950

Prime factors of 26950 are 2, 5, 7, 11. Prime factorization of 26950 in exponential form is:

26950 = 2¹ × 5² × 7² × 11¹

Step-2: Prime Factorization of 26964

Prime factors of 26964 are 2, 3, 7, 107. Prime factorization of 26964 in exponential form is:

26964 = 2² × 3² × 7¹ × 107¹

Step-3: Factors of 26950

List of positive integer factors of 26950 that divides 26950 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 49, 50, 55, 70, 77, 98, 110, 154, 175, 245, 275, 350, 385, 490, 539, 550, 770, 1078, 1225, 1925, 2450, 2695, 3850, 5390, 13475

Step-4: Factors of 26964

List of positive integer factors of 26964 that divides 26950 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 107, 126, 214, 252, 321, 428, 642, 749, 963, 1284, 1498, 1926, 2247, 2996, 3852, 4494, 6741, 8988, 13482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26950 and 26964. The biggest common factor number is the GCF number.
So the greatest common factor 26950 and 26964 is 14.

Also check out the Least Common Multiple of 26950 and 26964