What is the Greatest Common Factor of 70861 and 70868?

Greatest common factor (GCF) of 70861 and 70868 is 7.

GCF(70861,70868) = 7

We will now calculate the prime factors of 70861 and 70868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70861 and 70868.

How to find the GCF of 70861 and 70868?

We will first find the prime factorization of 70861 and 70868. After we will calculate the factors of 70861 and 70868 and find the biggest common factor number .

Step-1: Prime Factorization of 70861

Prime factors of 70861 are 7, 53, 191. Prime factorization of 70861 in exponential form is:

70861 = 7¹ × 53¹ × 191¹

Step-2: Prime Factorization of 70868

Prime factors of 70868 are 2, 7, 2531. Prime factorization of 70868 in exponential form is:

70868 = 2² × 7¹ × 2531¹

Step-3: Factors of 70861

List of positive integer factors of 70861 that divides 70861 without a remainder.

1, 7, 53, 191, 371, 1337, 10123

Step-4: Factors of 70868

List of positive integer factors of 70868 that divides 70861 without a remainder.

1, 2, 4, 7, 14, 28, 2531, 5062, 10124, 17717, 35434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70861 and 70868. The biggest common factor number is the GCF number.
So the greatest common factor 70861 and 70868 is 7.

Also check out the Least Common Multiple of 70861 and 70868