What is the Greatest Common Factor of 29465 and 29475?

Greatest common factor (GCF) of 29465 and 29475 is 5.

GCF(29465,29475) = 5

We will now calculate the prime factors of 29465 and 29475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29465 and 29475.

How to find the GCF of 29465 and 29475?

We will first find the prime factorization of 29465 and 29475. After we will calculate the factors of 29465 and 29475 and find the biggest common factor number .

Step-1: Prime Factorization of 29465

Prime factors of 29465 are 5, 71, 83. Prime factorization of 29465 in exponential form is:

29465 = 5¹ × 71¹ × 83¹

Step-2: Prime Factorization of 29475

Prime factors of 29475 are 3, 5, 131. Prime factorization of 29475 in exponential form is:

29475 = 3² × 5² × 131¹

Step-3: Factors of 29465

List of positive integer factors of 29465 that divides 29465 without a remainder.

1, 5, 71, 83, 355, 415, 5893

Step-4: Factors of 29475

List of positive integer factors of 29475 that divides 29465 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 131, 225, 393, 655, 1179, 1965, 3275, 5895, 9825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29465 and 29475. The biggest common factor number is the GCF number.
So the greatest common factor 29465 and 29475 is 5.

Also check out the Least Common Multiple of 29465 and 29475