What is the Greatest Common Factor of 91620 and 91634?

Greatest common factor (GCF) of 91620 and 91634 is 2.

GCF(91620,91634) = 2

We will now calculate the prime factors of 91620 and 91634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91620 and 91634.

How to find the GCF of 91620 and 91634?

We will first find the prime factorization of 91620 and 91634. After we will calculate the factors of 91620 and 91634 and find the biggest common factor number .

Step-1: Prime Factorization of 91620

Prime factors of 91620 are 2, 3, 5, 509. Prime factorization of 91620 in exponential form is:

91620 = 2² × 3² × 5¹ × 509¹

Step-2: Prime Factorization of 91634

Prime factors of 91634 are 2, 45817. Prime factorization of 91634 in exponential form is:

91634 = 2¹ × 45817¹

Step-3: Factors of 91620

List of positive integer factors of 91620 that divides 91620 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 509, 1018, 1527, 2036, 2545, 3054, 4581, 5090, 6108, 7635, 9162, 10180, 15270, 18324, 22905, 30540, 45810

Step-4: Factors of 91634

List of positive integer factors of 91634 that divides 91620 without a remainder.

1, 2, 45817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91620 and 91634. The biggest common factor number is the GCF number.
So the greatest common factor 91620 and 91634 is 2.

Also check out the Least Common Multiple of 91620 and 91634