What is the Greatest Common Factor of 63480 and 63488?

Greatest common factor (GCF) of 63480 and 63488 is 8.

GCF(63480,63488) = 8

We will now calculate the prime factors of 63480 and 63488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63480 and 63488.

How to find the GCF of 63480 and 63488?

We will first find the prime factorization of 63480 and 63488. After we will calculate the factors of 63480 and 63488 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63488

Prime factors of 63488 are 2, 31. Prime factorization of 63488 in exponential form is:

63488 = 2¹¹ × 31¹

Step-3: Factors of 63480

List of positive integer factors of 63480 that divides 63480 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

Step-4: Factors of 63488

List of positive integer factors of 63488 that divides 63480 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 512, 992, 1024, 1984, 2048, 3968, 7936, 15872, 31744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63480 and 63488. The biggest common factor number is the GCF number.
So the greatest common factor 63480 and 63488 is 8.

Also check out the Least Common Multiple of 63480 and 63488