What is the Greatest Common Factor of 70509 and 70523?

Greatest common factor (GCF) of 70509 and 70523 is 1.

GCF(70509,70523) = 1

We will now calculate the prime factors of 70509 and 70523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70509 and 70523.

How to find the GCF of 70509 and 70523?

We will first find the prime factorization of 70509 and 70523. After we will calculate the factors of 70509 and 70523 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 70523

Prime factors of 70523 are 109, 647. Prime factorization of 70523 in exponential form is:

70523 = 109¹ × 647¹

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 70523

List of positive integer factors of 70523 that divides 70509 without a remainder.

1, 109, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70509 and 70523. The biggest common factor number is the GCF number.
So the greatest common factor 70509 and 70523 is 1.

Also check out the Least Common Multiple of 70509 and 70523