What is the Greatest Common Factor of 70070 and 70081?

Greatest common factor (GCF) of 70070 and 70081 is 11.

GCF(70070,70081) = 11

We will now calculate the prime factors of 70070 and 70081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70070 and 70081.

How to find the GCF of 70070 and 70081?

We will first find the prime factorization of 70070 and 70081. After we will calculate the factors of 70070 and 70081 and find the biggest common factor number .

Step-1: Prime Factorization of 70070

Prime factors of 70070 are 2, 5, 7, 11, 13. Prime factorization of 70070 in exponential form is:

70070 = 2¹ × 5¹ × 7² × 11¹ × 13¹

Step-2: Prime Factorization of 70081

Prime factors of 70081 are 11, 23, 277. Prime factorization of 70081 in exponential form is:

70081 = 11¹ × 23¹ × 277¹

Step-3: Factors of 70070

List of positive integer factors of 70070 that divides 70070 without a remainder.

1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 49, 55, 65, 70, 77, 91, 98, 110, 130, 143, 154, 182, 245, 286, 385, 455, 490, 539, 637, 715, 770, 910, 1001, 1078, 1274, 1430, 2002, 2695, 3185, 5005, 5390, 6370, 7007, 10010, 14014, 35035

Step-4: Factors of 70081

List of positive integer factors of 70081 that divides 70070 without a remainder.

1, 11, 23, 253, 277, 3047, 6371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70070 and 70081. The biggest common factor number is the GCF number.
So the greatest common factor 70070 and 70081 is 11.

Also check out the Least Common Multiple of 70070 and 70081