What is the Greatest Common Factor of 63546 and 63561?

Greatest common factor (GCF) of 63546 and 63561 is 3.

GCF(63546,63561) = 3

We will now calculate the prime factors of 63546 and 63561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63546 and 63561.

How to find the GCF of 63546 and 63561?

We will first find the prime factorization of 63546 and 63561. After we will calculate the factors of 63546 and 63561 and find the biggest common factor number .

Step-1: Prime Factorization of 63546

Prime factors of 63546 are 2, 3, 7, 17, 89. Prime factorization of 63546 in exponential form is:

63546 = 2¹ × 3¹ × 7¹ × 17¹ × 89¹

Step-2: Prime Factorization of 63561

Prime factors of 63561 are 3, 21187. Prime factorization of 63561 in exponential form is:

63561 = 3¹ × 21187¹

Step-3: Factors of 63546

List of positive integer factors of 63546 that divides 63546 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 89, 102, 119, 178, 238, 267, 357, 534, 623, 714, 1246, 1513, 1869, 3026, 3738, 4539, 9078, 10591, 21182, 31773

Step-4: Factors of 63561

List of positive integer factors of 63561 that divides 63546 without a remainder.

1, 3, 21187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63546 and 63561. The biggest common factor number is the GCF number.
So the greatest common factor 63546 and 63561 is 3.

Also check out the Least Common Multiple of 63546 and 63561