What is the Greatest Common Factor of 40552 and 40560?

Greatest common factor (GCF) of 40552 and 40560 is 8.

GCF(40552,40560) = 8

We will now calculate the prime factors of 40552 and 40560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40552 and 40560.

How to find the GCF of 40552 and 40560?

We will first find the prime factorization of 40552 and 40560. After we will calculate the factors of 40552 and 40560 and find the biggest common factor number .

Step-1: Prime Factorization of 40552

Prime factors of 40552 are 2, 37, 137. Prime factorization of 40552 in exponential form is:

40552 = 2³ × 37¹ × 137¹

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 40552

List of positive integer factors of 40552 that divides 40552 without a remainder.

1, 2, 4, 8, 37, 74, 137, 148, 274, 296, 548, 1096, 5069, 10138, 20276

Step-4: Factors of 40560

List of positive integer factors of 40560 that divides 40552 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 40552 and 40560. The biggest common factor number is the GCF number.
So the greatest common factor 40552 and 40560 is 8.

Also check out the Least Common Multiple of 40552 and 40560