What is the Greatest Common Factor of 70506 and 70524?

Greatest common factor (GCF) of 70506 and 70524 is 18.

GCF(70506,70524) = 18

We will now calculate the prime factors of 70506 and 70524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70506 and 70524.

How to find the GCF of 70506 and 70524?

We will first find the prime factorization of 70506 and 70524. After we will calculate the factors of 70506 and 70524 and find the biggest common factor number .

Step-1: Prime Factorization of 70506

Prime factors of 70506 are 2, 3, 3917. Prime factorization of 70506 in exponential form is:

70506 = 2¹ × 3² × 3917¹

Step-2: Prime Factorization of 70524

Prime factors of 70524 are 2, 3, 653. Prime factorization of 70524 in exponential form is:

70524 = 2² × 3³ × 653¹

Step-3: Factors of 70506

List of positive integer factors of 70506 that divides 70506 without a remainder.

1, 2, 3, 6, 9, 18, 3917, 7834, 11751, 23502, 35253

Step-4: Factors of 70524

List of positive integer factors of 70524 that divides 70506 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 653, 1306, 1959, 2612, 3918, 5877, 7836, 11754, 17631, 23508, 35262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70506 and 70524. The biggest common factor number is the GCF number.
So the greatest common factor 70506 and 70524 is 18.

Also check out the Least Common Multiple of 70506 and 70524