What is the Greatest Common Factor of 70509 and 70521?

Greatest common factor (GCF) of 70509 and 70521 is 3.

GCF(70509,70521) = 3

We will now calculate the prime factors of 70509 and 70521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70509 and 70521.

How to find the GCF of 70509 and 70521?

We will first find the prime factorization of 70509 and 70521. After we will calculate the factors of 70509 and 70521 and find the biggest common factor number .

Step-1: Prime Factorization of 70509

Prime factors of 70509 are 3, 19, 1237. Prime factorization of 70509 in exponential form is:

70509 = 3¹ × 19¹ × 1237¹

Step-2: Prime Factorization of 70521

Prime factors of 70521 are 3, 11, 2137. Prime factorization of 70521 in exponential form is:

70521 = 3¹ × 11¹ × 2137¹

Step-3: Factors of 70509

List of positive integer factors of 70509 that divides 70509 without a remainder.

1, 3, 19, 57, 1237, 3711, 23503

Step-4: Factors of 70521

List of positive integer factors of 70521 that divides 70509 without a remainder.

1, 3, 11, 33, 2137, 6411, 23507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70509 and 70521. The biggest common factor number is the GCF number.
So the greatest common factor 70509 and 70521 is 3.

Also check out the Least Common Multiple of 70509 and 70521