What is the Greatest Common Factor of 70959 and 70963?

Greatest common factor (GCF) of 70959 and 70963 is 1.

GCF(70959,70963) = 1

We will now calculate the prime factors of 70959 and 70963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70959 and 70963.

How to find the GCF of 70959 and 70963?

We will first find the prime factorization of 70959 and 70963. After we will calculate the factors of 70959 and 70963 and find the biggest common factor number .

Step-1: Prime Factorization of 70959

Prime factors of 70959 are 3, 7, 31, 109. Prime factorization of 70959 in exponential form is:

70959 = 3¹ × 7¹ × 31¹ × 109¹

Step-2: Prime Factorization of 70963

Prime factors of 70963 are 29, 2447. Prime factorization of 70963 in exponential form is:

70963 = 29¹ × 2447¹

Step-3: Factors of 70959

List of positive integer factors of 70959 that divides 70959 without a remainder.

1, 3, 7, 21, 31, 93, 109, 217, 327, 651, 763, 2289, 3379, 10137, 23653

Step-4: Factors of 70963

List of positive integer factors of 70963 that divides 70959 without a remainder.

1, 29, 2447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70959 and 70963. The biggest common factor number is the GCF number.
So the greatest common factor 70959 and 70963 is 1.

Also check out the Least Common Multiple of 70959 and 70963