What is the Greatest Common Factor of 91700 and 91714?

Greatest common factor (GCF) of 91700 and 91714 is 14.

GCF(91700,91714) = 14

We will now calculate the prime factors of 91700 and 91714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91700 and 91714.

How to find the GCF of 91700 and 91714?

We will first find the prime factorization of 91700 and 91714. After we will calculate the factors of 91700 and 91714 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91714

Prime factors of 91714 are 2, 7, 6551. Prime factorization of 91714 in exponential form is:

91714 = 2¹ × 7¹ × 6551¹

Step-3: Factors of 91700

List of positive integer factors of 91700 that divides 91700 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

Step-4: Factors of 91714

List of positive integer factors of 91714 that divides 91700 without a remainder.

1, 2, 7, 14, 6551, 13102, 45857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91700 and 91714. The biggest common factor number is the GCF number.
So the greatest common factor 91700 and 91714 is 14.

Also check out the Least Common Multiple of 91700 and 91714