What is the Greatest Common Factor of 91690 and 91700?

Greatest common factor (GCF) of 91690 and 91700 is 10.

GCF(91690,91700) = 10

We will now calculate the prime factors of 91690 and 91700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91690 and 91700.

How to find the GCF of 91690 and 91700?

We will first find the prime factorization of 91690 and 91700. After we will calculate the factors of 91690 and 91700 and find the biggest common factor number .

Step-1: Prime Factorization of 91690

Prime factors of 91690 are 2, 5, 53, 173. Prime factorization of 91690 in exponential form is:

91690 = 2¹ × 5¹ × 53¹ × 173¹

Step-2: Prime Factorization of 91700

Prime factors of 91700 are 2, 5, 7, 131. Prime factorization of 91700 in exponential form is:

91700 = 2² × 5² × 7¹ × 131¹

Step-3: Factors of 91690

List of positive integer factors of 91690 that divides 91690 without a remainder.

1, 2, 5, 10, 53, 106, 173, 265, 346, 530, 865, 1730, 9169, 18338, 45845

Step-4: Factors of 91700

List of positive integer factors of 91700 that divides 91690 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 131, 140, 175, 262, 350, 524, 655, 700, 917, 1310, 1834, 2620, 3275, 3668, 4585, 6550, 9170, 13100, 18340, 22925, 45850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91690 and 91700. The biggest common factor number is the GCF number.
So the greatest common factor 91690 and 91700 is 10.

Also check out the Least Common Multiple of 91690 and 91700