What is the Greatest Common Factor of 83699 and 83710?

Greatest common factor (GCF) of 83699 and 83710 is 11.

GCF(83699,83710) = 11

We will now calculate the prime factors of 83699 and 83710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83699 and 83710.

How to find the GCF of 83699 and 83710?

We will first find the prime factorization of 83699 and 83710. After we will calculate the factors of 83699 and 83710 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 83710

Prime factors of 83710 are 2, 5, 11, 761. Prime factorization of 83710 in exponential form is:

83710 = 2¹ × 5¹ × 11¹ × 761¹

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 83710

List of positive integer factors of 83710 that divides 83699 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 761, 1522, 3805, 7610, 8371, 16742, 41855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83699 and 83710. The biggest common factor number is the GCF number.
So the greatest common factor 83699 and 83710 is 11.

Also check out the Least Common Multiple of 83699 and 83710