What is the Greatest Common Factor of 63465 and 63480?

Greatest common factor (GCF) of 63465 and 63480 is 15.

GCF(63465,63480) = 15

We will now calculate the prime factors of 63465 and 63480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63465 and 63480.

How to find the GCF of 63465 and 63480?

We will first find the prime factorization of 63465 and 63480. After we will calculate the factors of 63465 and 63480 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 63480

Prime factors of 63480 are 2, 3, 5, 23. Prime factorization of 63480 in exponential form is:

63480 = 2³ × 3¹ × 5¹ × 23²

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 63480

List of positive integer factors of 63480 that divides 63465 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 529, 552, 690, 920, 1058, 1380, 1587, 2116, 2645, 2760, 3174, 4232, 5290, 6348, 7935, 10580, 12696, 15870, 21160, 31740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63465 and 63480. The biggest common factor number is the GCF number.
So the greatest common factor 63465 and 63480 is 15.

Also check out the Least Common Multiple of 63465 and 63480