What is the Greatest Common Factor of 70782 and 70801?

Greatest common factor (GCF) of 70782 and 70801 is 1.

GCF(70782,70801) = 1

We will now calculate the prime factors of 70782 and 70801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70782 and 70801.

How to find the GCF of 70782 and 70801?

We will first find the prime factorization of 70782 and 70801. After we will calculate the factors of 70782 and 70801 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 70801

Prime factors of 70801 are 101, 701. Prime factorization of 70801 in exponential form is:

70801 = 101¹ × 701¹

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 70801

List of positive integer factors of 70801 that divides 70782 without a remainder.

1, 101, 701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70782 and 70801. The biggest common factor number is the GCF number.
So the greatest common factor 70782 and 70801 is 1.

Also check out the Least Common Multiple of 70782 and 70801