What is the Greatest Common Factor of 6925 and 6944?

Greatest common factor (GCF) of 6925 and 6944 is 1.

GCF(6925,6944) = 1

We will now calculate the prime factors of 6925 and 6944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6925 and 6944.

How to find the GCF of 6925 and 6944?

We will first find the prime factorization of 6925 and 6944. After we will calculate the factors of 6925 and 6944 and find the biggest common factor number .

Step-1: Prime Factorization of 6925

Prime factors of 6925 are 5, 277. Prime factorization of 6925 in exponential form is:

6925 = 5² × 277¹

Step-2: Prime Factorization of 6944

Prime factors of 6944 are 2, 7, 31. Prime factorization of 6944 in exponential form is:

6944 = 2⁵ × 7¹ × 31¹

Step-3: Factors of 6925

List of positive integer factors of 6925 that divides 6925 without a remainder.

1, 5, 25, 277, 1385

Step-4: Factors of 6944

List of positive integer factors of 6944 that divides 6925 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6925 and 6944. The biggest common factor number is the GCF number.
So the greatest common factor 6925 and 6944 is 1.

Also check out the Least Common Multiple of 6925 and 6944