What is the Greatest Common Factor of 40560 and 40573?

Greatest common factor (GCF) of 40560 and 40573 is 13.

GCF(40560,40573) = 13

We will now calculate the prime factors of 40560 and 40573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40560 and 40573.

How to find the GCF of 40560 and 40573?

We will first find the prime factorization of 40560 and 40573. After we will calculate the factors of 40560 and 40573 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40573

Prime factors of 40573 are 13, 3121. Prime factorization of 40573 in exponential form is:

40573 = 13¹ × 3121¹

Step-3: Factors of 40560

List of positive integer factors of 40560 that divides 40560 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

Step-4: Factors of 40573

List of positive integer factors of 40573 that divides 40560 without a remainder.

1, 13, 3121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40560 and 40573. The biggest common factor number is the GCF number.
So the greatest common factor 40560 and 40573 is 13.

Also check out the Least Common Multiple of 40560 and 40573