What is the Greatest Common Factor of 83702 and 83707?

Greatest common factor (GCF) of 83702 and 83707 is 1.

GCF(83702,83707) = 1

We will now calculate the prime factors of 83702 and 83707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83702 and 83707.

How to find the GCF of 83702 and 83707?

We will first find the prime factorization of 83702 and 83707. After we will calculate the factors of 83702 and 83707 and find the biggest common factor number .

Step-1: Prime Factorization of 83702

Prime factors of 83702 are 2, 41851. Prime factorization of 83702 in exponential form is:

83702 = 2¹ × 41851¹

Step-2: Prime Factorization of 83707

Prime factors of 83707 are 13, 47, 137. Prime factorization of 83707 in exponential form is:

83707 = 13¹ × 47¹ × 137¹

Step-3: Factors of 83702

List of positive integer factors of 83702 that divides 83702 without a remainder.

1, 2, 41851

Step-4: Factors of 83707

List of positive integer factors of 83707 that divides 83702 without a remainder.

1, 13, 47, 137, 611, 1781, 6439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83702 and 83707. The biggest common factor number is the GCF number.
So the greatest common factor 83702 and 83707 is 1.

Also check out the Least Common Multiple of 83702 and 83707