What is the Greatest Common Factor of 63465 and 63474?

Greatest common factor (GCF) of 63465 and 63474 is 3.

GCF(63465,63474) = 3

We will now calculate the prime factors of 63465 and 63474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63465 and 63474.

How to find the GCF of 63465 and 63474?

We will first find the prime factorization of 63465 and 63474. After we will calculate the factors of 63465 and 63474 and find the biggest common factor number .

Step-1: Prime Factorization of 63465

Prime factors of 63465 are 3, 5, 4231. Prime factorization of 63465 in exponential form is:

63465 = 3¹ × 5¹ × 4231¹

Step-2: Prime Factorization of 63474

Prime factors of 63474 are 2, 3, 71, 149. Prime factorization of 63474 in exponential form is:

63474 = 2¹ × 3¹ × 71¹ × 149¹

Step-3: Factors of 63465

List of positive integer factors of 63465 that divides 63465 without a remainder.

1, 3, 5, 15, 4231, 12693, 21155

Step-4: Factors of 63474

List of positive integer factors of 63474 that divides 63465 without a remainder.

1, 2, 3, 6, 71, 142, 149, 213, 298, 426, 447, 894, 10579, 21158, 31737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63465 and 63474. The biggest common factor number is the GCF number.
So the greatest common factor 63465 and 63474 is 3.

Also check out the Least Common Multiple of 63465 and 63474