What is the Greatest Common Factor of 83699 and 83706?

Greatest common factor (GCF) of 83699 and 83706 is 7.

GCF(83699,83706) = 7

We will now calculate the prime factors of 83699 and 83706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83699 and 83706.

How to find the GCF of 83699 and 83706?

We will first find the prime factorization of 83699 and 83706. After we will calculate the factors of 83699 and 83706 and find the biggest common factor number .

Step-1: Prime Factorization of 83699

Prime factors of 83699 are 7, 11, 1087. Prime factorization of 83699 in exponential form is:

83699 = 7¹ × 11¹ × 1087¹

Step-2: Prime Factorization of 83706

Prime factors of 83706 are 2, 3, 7, 1993. Prime factorization of 83706 in exponential form is:

83706 = 2¹ × 3¹ × 7¹ × 1993¹

Step-3: Factors of 83699

List of positive integer factors of 83699 that divides 83699 without a remainder.

1, 7, 11, 77, 1087, 7609, 11957

Step-4: Factors of 83706

List of positive integer factors of 83706 that divides 83699 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1993, 3986, 5979, 11958, 13951, 27902, 41853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83699 and 83706. The biggest common factor number is the GCF number.
So the greatest common factor 83699 and 83706 is 7.

Also check out the Least Common Multiple of 83699 and 83706