What is the Greatest Common Factor of 91430 and 91450?

Greatest common factor (GCF) of 91430 and 91450 is 10.

GCF(91430,91450) = 10

We will now calculate the prime factors of 91430 and 91450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91430 and 91450.

How to find the GCF of 91430 and 91450?

We will first find the prime factorization of 91430 and 91450. After we will calculate the factors of 91430 and 91450 and find the biggest common factor number .

Step-1: Prime Factorization of 91430

Prime factors of 91430 are 2, 5, 41, 223. Prime factorization of 91430 in exponential form is:

91430 = 2¹ × 5¹ × 41¹ × 223¹

Step-2: Prime Factorization of 91450

Prime factors of 91450 are 2, 5, 31, 59. Prime factorization of 91450 in exponential form is:

91450 = 2¹ × 5² × 31¹ × 59¹

Step-3: Factors of 91430

List of positive integer factors of 91430 that divides 91430 without a remainder.

1, 2, 5, 10, 41, 82, 205, 223, 410, 446, 1115, 2230, 9143, 18286, 45715

Step-4: Factors of 91450

List of positive integer factors of 91450 that divides 91430 without a remainder.

1, 2, 5, 10, 25, 31, 50, 59, 62, 118, 155, 295, 310, 590, 775, 1475, 1550, 1829, 2950, 3658, 9145, 18290, 45725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91430 and 91450. The biggest common factor number is the GCF number.
So the greatest common factor 91430 and 91450 is 10.

Also check out the Least Common Multiple of 91430 and 91450