What is the Greatest Common Factor of 70949 and 70959?

Greatest common factor (GCF) of 70949 and 70959 is 1.

GCF(70949,70959) = 1

We will now calculate the prime factors of 70949 and 70959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70949 and 70959.

How to find the GCF of 70949 and 70959?

We will first find the prime factorization of 70949 and 70959. After we will calculate the factors of 70949 and 70959 and find the biggest common factor number .

Step-1: Prime Factorization of 70949

Prime factors of 70949 are 70949. Prime factorization of 70949 in exponential form is:

70949 = 70949¹

Step-2: 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-3: Factors of 70949

List of positive integer factors of 70949 that divides 70949 without a remainder.

Step-4: Factors of 70959

List of positive integer factors of 70959 that divides 70949 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70949 and 70959. The biggest common factor number is the GCF number.
So the greatest common factor 70949 and 70959 is 1.

Also check out the Least Common Multiple of 70949 and 70959