What is the Greatest Common Factor of 70072 and 70091?

Greatest common factor (GCF) of 70072 and 70091 is 19.

GCF(70072,70091) = 19

We will now calculate the prime factors of 70072 and 70091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70072 and 70091.

How to find the GCF of 70072 and 70091?

We will first find the prime factorization of 70072 and 70091. After we will calculate the factors of 70072 and 70091 and find the biggest common factor number .

Step-1: Prime Factorization of 70072

Prime factors of 70072 are 2, 19, 461. Prime factorization of 70072 in exponential form is:

70072 = 2³ × 19¹ × 461¹

Step-2: 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-3: Factors of 70072

List of positive integer factors of 70072 that divides 70072 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 461, 922, 1844, 3688, 8759, 17518, 35036

Step-4: Factors of 70091

List of positive integer factors of 70091 that divides 70072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70072 and 70091. The biggest common factor number is the GCF number.
So the greatest common factor 70072 and 70091 is 19.

Also check out the Least Common Multiple of 70072 and 70091