What is the Greatest Common Factor of 70782 and 70791?

Greatest common factor (GCF) of 70782 and 70791 is 3.

GCF(70782,70791) = 3

We will now calculate the prime factors of 70782 and 70791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70782 and 70791.

How to find the GCF of 70782 and 70791?

We will first find the prime factorization of 70782 and 70791. After we will calculate the factors of 70782 and 70791 and find the biggest common factor number .

Step-1: Prime Factorization of 70782

Prime factors of 70782 are 2, 3, 47, 251. Prime factorization of 70782 in exponential form is:

70782 = 2¹ × 3¹ × 47¹ × 251¹

Step-2: Prime Factorization of 70791

Prime factors of 70791 are 3, 7, 3371. Prime factorization of 70791 in exponential form is:

70791 = 3¹ × 7¹ × 3371¹

Step-3: Factors of 70782

List of positive integer factors of 70782 that divides 70782 without a remainder.

1, 2, 3, 6, 47, 94, 141, 251, 282, 502, 753, 1506, 11797, 23594, 35391

Step-4: Factors of 70791

List of positive integer factors of 70791 that divides 70782 without a remainder.

1, 3, 7, 21, 3371, 10113, 23597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70782 and 70791. The biggest common factor number is the GCF number.
So the greatest common factor 70782 and 70791 is 3.

Also check out the Least Common Multiple of 70782 and 70791