What is the Greatest Common Factor of 29414 and 29425?

Greatest common factor (GCF) of 29414 and 29425 is 11.

GCF(29414,29425) = 11

We will now calculate the prime factors of 29414 and 29425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29414 and 29425.

How to find the GCF of 29414 and 29425?

We will first find the prime factorization of 29414 and 29425. After we will calculate the factors of 29414 and 29425 and find the biggest common factor number .

Step-1: Prime Factorization of 29414

Prime factors of 29414 are 2, 7, 11, 191. Prime factorization of 29414 in exponential form is:

29414 = 2¹ × 7¹ × 11¹ × 191¹

Step-2: Prime Factorization of 29425

Prime factors of 29425 are 5, 11, 107. Prime factorization of 29425 in exponential form is:

29425 = 5² × 11¹ × 107¹

Step-3: Factors of 29414

List of positive integer factors of 29414 that divides 29414 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 191, 382, 1337, 2101, 2674, 4202, 14707

Step-4: Factors of 29425

List of positive integer factors of 29425 that divides 29414 without a remainder.

1, 5, 11, 25, 55, 107, 275, 535, 1177, 2675, 5885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29414 and 29425. The biggest common factor number is the GCF number.
So the greatest common factor 29414 and 29425 is 11.

Also check out the Least Common Multiple of 29414 and 29425