What is the Greatest Common Factor of 40547 and 40560?

Greatest common factor (GCF) of 40547 and 40560 is 13.

GCF(40547,40560) = 13

We will now calculate the prime factors of 40547 and 40560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40547 and 40560.

How to find the GCF of 40547 and 40560?

We will first find the prime factorization of 40547 and 40560. After we will calculate the factors of 40547 and 40560 and find the biggest common factor number .

Step-1: Prime Factorization of 40547

Prime factors of 40547 are 13, 3119. Prime factorization of 40547 in exponential form is:

40547 = 13¹ × 3119¹

Step-2: Prime Factorization of 40560

Prime factors of 40560 are 2, 3, 5, 13. Prime factorization of 40560 in exponential form is:

40560 = 2⁴ × 3¹ × 5¹ × 13²

Step-3: Factors of 40547

List of positive integer factors of 40547 that divides 40547 without a remainder.

1, 13, 3119

Step-4: Factors of 40560

List of positive integer factors of 40560 that divides 40547 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 169, 195, 208, 240, 260, 312, 338, 390, 507, 520, 624, 676, 780, 845, 1014, 1040, 1352, 1560, 1690, 2028, 2535, 2704, 3120, 3380, 4056, 5070, 6760, 8112, 10140, 13520, 20280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40547 and 40560. The biggest common factor number is the GCF number.
So the greatest common factor 40547 and 40560 is 13.

Also check out the Least Common Multiple of 40547 and 40560