What is the Greatest Common Factor of 70091 and 70108?

Greatest common factor (GCF) of 70091 and 70108 is 17.

GCF(70091,70108) = 17

We will now calculate the prime factors of 70091 and 70108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70091 and 70108.

How to find the GCF of 70091 and 70108?

We will first find the prime factorization of 70091 and 70108. After we will calculate the factors of 70091 and 70108 and find the biggest common factor number .

Step-1: Prime Factorization of 70091

Prime factors of 70091 are 7, 17, 19, 31. Prime factorization of 70091 in exponential form is:

70091 = 7¹ × 17¹ × 19¹ × 31¹

Step-2: Prime Factorization of 70108

Prime factors of 70108 are 2, 17, 1031. Prime factorization of 70108 in exponential form is:

70108 = 2² × 17¹ × 1031¹

Step-3: Factors of 70091

List of positive integer factors of 70091 that divides 70091 without a remainder.

1, 7, 17, 19, 31, 119, 133, 217, 323, 527, 589, 2261, 3689, 4123, 10013

Step-4: Factors of 70108

List of positive integer factors of 70108 that divides 70091 without a remainder.

1, 2, 4, 17, 34, 68, 1031, 2062, 4124, 17527, 35054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70091 and 70108. The biggest common factor number is the GCF number.
So the greatest common factor 70091 and 70108 is 17.

Also check out the Least Common Multiple of 70091 and 70108