What is the Greatest Common Factor of 63546 and 63560?

Greatest common factor (GCF) of 63546 and 63560 is 14.

GCF(63546,63560) = 14

We will now calculate the prime factors of 63546 and 63560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63546 and 63560.

How to find the GCF of 63546 and 63560?

We will first find the prime factorization of 63546 and 63560. After we will calculate the factors of 63546 and 63560 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 63560

Prime factors of 63560 are 2, 5, 7, 227. Prime factorization of 63560 in exponential form is:

63560 = 2³ × 5¹ × 7¹ × 227¹

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 63560

List of positive integer factors of 63560 that divides 63546 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 227, 280, 454, 908, 1135, 1589, 1816, 2270, 3178, 4540, 6356, 7945, 9080, 12712, 15890, 31780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63546 and 63560. The biggest common factor number is the GCF number.
So the greatest common factor 63546 and 63560 is 14.

Also check out the Least Common Multiple of 63546 and 63560