What is the Greatest Common Factor of 70535 and 70550?

Greatest common factor (GCF) of 70535 and 70550 is 5.

GCF(70535,70550) = 5

We will now calculate the prime factors of 70535 and 70550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70535 and 70550.

How to find the GCF of 70535 and 70550?

We will first find the prime factorization of 70535 and 70550. After we will calculate the factors of 70535 and 70550 and find the biggest common factor number .

Step-1: Prime Factorization of 70535

Prime factors of 70535 are 5, 14107. Prime factorization of 70535 in exponential form is:

70535 = 5¹ × 14107¹

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 70535

List of positive integer factors of 70535 that divides 70535 without a remainder.

1, 5, 14107

Step-4: Factors of 70550

List of positive integer factors of 70550 that divides 70535 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 70535 and 70550. The biggest common factor number is the GCF number.
So the greatest common factor 70535 and 70550 is 5.

Also check out the Least Common Multiple of 70535 and 70550