What is the Greatest Common Factor of 70533 and 70550?

Greatest common factor (GCF) of 70533 and 70550 is 17.

GCF(70533,70550) = 17

We will now calculate the prime factors of 70533 and 70550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70533 and 70550.

How to find the GCF of 70533 and 70550?

We will first find the prime factorization of 70533 and 70550. After we will calculate the factors of 70533 and 70550 and find the biggest common factor number .

Step-1: Prime Factorization of 70533

Prime factors of 70533 are 3, 17, 461. Prime factorization of 70533 in exponential form is:

70533 = 3² × 17¹ × 461¹

Step-2: Prime Factorization of 70550

Prime factors of 70550 are 2, 5, 17, 83. Prime factorization of 70550 in exponential form is:

70550 = 2¹ × 5² × 17¹ × 83¹

Step-3: Factors of 70533

List of positive integer factors of 70533 that divides 70533 without a remainder.

1, 3, 9, 17, 51, 153, 461, 1383, 4149, 7837, 23511

Step-4: Factors of 70550

List of positive integer factors of 70550 that divides 70533 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 83, 85, 166, 170, 415, 425, 830, 850, 1411, 2075, 2822, 4150, 7055, 14110, 35275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70533 and 70550. The biggest common factor number is the GCF number.
So the greatest common factor 70533 and 70550 is 17.

Also check out the Least Common Multiple of 70533 and 70550