What is the Greatest Common Factor of 84742 and 84756?

Greatest common factor (GCF) of 84742 and 84756 is 14.

GCF(84742,84756) = 14

We will now calculate the prime factors of 84742 and 84756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84742 and 84756.

How to find the GCF of 84742 and 84756?

We will first find the prime factorization of 84742 and 84756. After we will calculate the factors of 84742 and 84756 and find the biggest common factor number .

Step-1: Prime Factorization of 84742

Prime factors of 84742 are 2, 7, 6053. Prime factorization of 84742 in exponential form is:

84742 = 2¹ × 7¹ × 6053¹

Step-2: Prime Factorization of 84756

Prime factors of 84756 are 2, 3, 7, 1009. Prime factorization of 84756 in exponential form is:

84756 = 2² × 3¹ × 7¹ × 1009¹

Step-3: Factors of 84742

List of positive integer factors of 84742 that divides 84742 without a remainder.

1, 2, 7, 14, 6053, 12106, 42371

Step-4: Factors of 84756

List of positive integer factors of 84756 that divides 84742 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1009, 2018, 3027, 4036, 6054, 7063, 12108, 14126, 21189, 28252, 42378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84742 and 84756. The biggest common factor number is the GCF number.
So the greatest common factor 84742 and 84756 is 14.

Also check out the Least Common Multiple of 84742 and 84756