What is the Greatest Common Factor of 48495 and 48504?

Greatest common factor (GCF) of 48495 and 48504 is 3.

GCF(48495,48504) = 3

We will now calculate the prime factors of 48495 and 48504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48495 and 48504.

How to find the GCF of 48495 and 48504?

We will first find the prime factorization of 48495 and 48504. After we will calculate the factors of 48495 and 48504 and find the biggest common factor number .

Step-1: Prime Factorization of 48495

Prime factors of 48495 are 3, 5, 53, 61. Prime factorization of 48495 in exponential form is:

48495 = 3¹ × 5¹ × 53¹ × 61¹

Step-2: Prime Factorization of 48504

Prime factors of 48504 are 2, 3, 43, 47. Prime factorization of 48504 in exponential form is:

48504 = 2³ × 3¹ × 43¹ × 47¹

Step-3: Factors of 48495

List of positive integer factors of 48495 that divides 48495 without a remainder.

1, 3, 5, 15, 53, 61, 159, 183, 265, 305, 795, 915, 3233, 9699, 16165

Step-4: Factors of 48504

List of positive integer factors of 48504 that divides 48495 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 47, 86, 94, 129, 141, 172, 188, 258, 282, 344, 376, 516, 564, 1032, 1128, 2021, 4042, 6063, 8084, 12126, 16168, 24252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48495 and 48504. The biggest common factor number is the GCF number.
So the greatest common factor 48495 and 48504 is 3.

Also check out the Least Common Multiple of 48495 and 48504