What is the Greatest Common Factor of 63546 and 63566?

Greatest common factor (GCF) of 63546 and 63566 is 2.

GCF(63546,63566) = 2

We will now calculate the prime factors of 63546 and 63566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63546 and 63566.

How to find the GCF of 63546 and 63566?

We will first find the prime factorization of 63546 and 63566. After we will calculate the factors of 63546 and 63566 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 63566

Prime factors of 63566 are 2, 37, 859. Prime factorization of 63566 in exponential form is:

63566 = 2¹ × 37¹ × 859¹

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 63566

List of positive integer factors of 63566 that divides 63546 without a remainder.

1, 2, 37, 74, 859, 1718, 31783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63546 and 63566. The biggest common factor number is the GCF number.
So the greatest common factor 63546 and 63566 is 2.

Also check out the Least Common Multiple of 63546 and 63566